Atkin-Lehner |
2+ 3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830a |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2820096 |
Modular degree for the optimal curve |
Δ |
-4.4556514628815E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1105530,551016116] |
[a1,a2,a3,a4,a6] |
Generators |
[512200:10550327:512] |
Generators of the group modulo torsion |
j |
-7591790890171215603/2263705463029760 |
j-invariant |
L |
4.3150182583517 |
L(r)(E,1)/r! |
Ω |
0.19170436579836 |
Real period |
R |
11.254355612745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000111079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830br1 |
Quadratic twists by: -3 |