Atkin-Lehner |
2+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870b |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
90797760 |
Modular degree for the optimal curve |
Δ |
-1.92687570944E+26 |
Discriminant |
Eigenvalues |
2+ 3 5+ 3 11+ -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3401446615,-76358146495075] |
[a1,a2,a3,a4,a6] |
Generators |
[9274201927681495917930570005105872753639502586134193373394628813796344644743288373382558827352893532641404409303265816100448721356841000021003:5931309061519056877928866916725409087660287876882466858925923804028835867600222496160637121865219415143267402601149368598860009003974835124389951:22174712429228968883414414521437827868202980836889542889458213548512827204578667750711847158071203713337550396929183635501548909552703739] |
Generators of the group modulo torsion |
j |
-3269916285809813012789023673619/144769024000000000000000 |
j-invariant |
L |
8.7139244087138 |
L(r)(E,1)/r! |
Ω |
0.0098844495834556 |
Real period |
R |
220.39478109381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870n1 |
Quadratic twists by: -11 |