Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630s |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
374153683200 = 28 · 3 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2725,45035] |
[a1,a2,a3,a4,a6] |
j |
1263214441/211200 |
j-invariant |
L |
3.6401772001322 |
L(r)(E,1)/r! |
Ω |
0.91004430003305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29040dq1 116160dr1 10890q1 18150bj1 |
Quadratic twists by: -4 8 -3 5 |