Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3630t |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
4769213644800 = 216 · 37 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11591,467721] |
[a1,a2,a3,a4,a6] |
Generators |
[406:-8123:1] |
Generators of the group modulo torsion |
j |
129392980254539/3583180800 |
j-invariant |
L |
5.3656493814667 |
L(r)(E,1)/r! |
Ω |
0.7682645816517 |
Real period |
R |
0.062358183505088 |
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 |
29040bt1 116160bj1 10890t1 18150b1 |
Quadratic twists by: -4 8 -3 5 |