Atkin-Lehner |
2+ 3+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502d |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
1180092186 = 2 · 33 · 73 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -3 13- 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-390,-2366] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:26:1] |
Generators of the group modulo torsion |
j |
243321230907/43707118 |
j-invariant |
L |
3.5836716311908 |
L(r)(E,1)/r! |
Ω |
1.0874490288424 |
Real period |
R |
0.54924744917182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47502ba1 |
Quadratic twists by: -3 |