Atkin-Lehner |
3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925bb |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-1.4487480670185E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 2 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6855738,6930596406] |
[a1,a2,a3,a4,a6] |
Generators |
[1210:19607:1] |
Generators of the group modulo torsion |
j |
-19385548183592137/78810594471 |
j-invariant |
L |
4.334885426597 |
L(r)(E,1)/r! |
Ω |
0.18432423813483 |
Real period |
R |
2.9397147294138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4557n1 16275p1 |
Quadratic twists by: 5 -7 |