Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7326d |
Isogeny class |
Conductor |
7326 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
8089758423526146048 = 224 · 37 · 115 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-545247,-72584883] |
[a1,a2,a3,a4,a6] |
j |
24591016773082896625/11097062309363712 |
j-invariant |
L |
1.8329486278498 |
L(r)(E,1)/r! |
Ω |
0.18329486278498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608bf1 2442h1 80586bi1 |
Quadratic twists by: -4 -3 -11 |