Atkin-Lehner |
2+ 3- 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038i |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7618560 |
Modular degree for the optimal curve |
Δ |
-2.0454811546164E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1639134,6833085844] |
[a1,a2,a3,a4,a6] |
Generators |
[448945618299985:-51129457281526982:544337892125] |
Generators of the group modulo torsion |
j |
668096830127457337823/28058726400773849088 |
j-invariant |
L |
4.5971959388801 |
L(r)(E,1)/r! |
Ω |
0.091979446026611 |
Real period |
R |
24.990343608225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38346k1 |
Quadratic twists by: -3 |