Atkin-Lehner |
3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
14415a |
Isogeny class |
Conductor |
14415 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
3502845 = 36 · 5 · 312 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 -3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-41,62] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:11:1] [8:13:1] |
Generators of the group modulo torsion |
j |
8126464/3645 |
j-invariant |
L |
4.322346415099 |
L(r)(E,1)/r! |
Ω |
2.246381292153 |
Real period |
R |
0.96206873476842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43245j1 72075ba1 14415d1 |
Quadratic twists by: -3 5 -31 |