Atkin-Lehner |
2- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
112258c |
Isogeny class |
Conductor |
112258 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
-85254901305570512 = -1 · 24 · 379 · 41 |
Discriminant |
Eigenvalues |
2- 1 0 -4 -3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,108807,-2542519] |
[a1,a2,a3,a4,a6] |
Generators |
[40:1349:1] [28900:4898891:1] |
Generators of the group modulo torsion |
j |
55524368375/33228368 |
j-invariant |
L |
17.747216855713 |
L(r)(E,1)/r! |
Ω |
0.19877988872103 |
Real period |
R |
5.5800466570994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3034a1 |
Quadratic twists by: 37 |