Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30438l |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
337040704512 = 210 · 37 · 19 · 892 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -6 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8555,-301125] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:54:1] |
Generators of the group modulo torsion |
j |
94974853515625/462332928 |
j-invariant |
L |
8.3833231720378 |
L(r)(E,1)/r! |
Ω |
0.49656460216396 |
Real period |
R |
1.6882643538231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146b1 |
Quadratic twists by: -3 |