Atkin-Lehner |
2- 3- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238cu |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
839680 |
Modular degree for the optimal curve |
Δ |
-17846527010598 = -1 · 2 · 310 · 11 · 135 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11- 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-700655,225912989] |
[a1,a2,a3,a4,a6] |
j |
-52180505182606515625/24480832662 |
j-invariant |
L |
5.6413060877588 |
L(r)(E,1)/r! |
Ω |
0.56413059673816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31746q1 |
Quadratic twists by: -3 |