Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488y |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
731136 |
Modular degree for the optimal curve |
Δ |
-6211352208748544 = -1 · 212 · 11 · 1310 |
Discriminant |
Eigenvalues |
2- 3 -1 4 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41912,1863056] |
[a1,a2,a3,a4,a6] |
Generators |
[140942880:5592742012:91125] |
Generators of the group modulo torsion |
j |
411830784/314171 |
j-invariant |
L |
12.409824983998 |
L(r)(E,1)/r! |
Ω |
0.27164900333567 |
Real period |
R |
11.420826905027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59488h1 118976s1 4576c1 |
Quadratic twists by: -4 8 13 |