Atkin-Lehner |
2+ 3+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650s |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2327040 |
Modular degree for the optimal curve |
Δ |
-2.678279477947E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1065575,893545875] |
[a1,a2,a3,a4,a6] |
Generators |
[1213205:69175910:343] |
Generators of the group modulo torsion |
j |
-342544013933383705/685639546354422 |
j-invariant |
L |
4.2318728731056 |
L(r)(E,1)/r! |
Ω |
0.15518498166021 |
Real period |
R |
2.2724884131918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650co1 |
Quadratic twists by: 5 |