Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7956d |
Isogeny class |
Conductor |
7956 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
3549553488 = 24 · 310 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11244,-458903] |
[a1,a2,a3,a4,a6] |
j |
13478411517952/304317 |
j-invariant |
L |
2.7817697758476 |
L(r)(E,1)/r! |
Ω |
0.4636282959746 |
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 |
31824bd1 127296br1 2652d1 103428w1 |
Quadratic twists by: -4 8 -3 13 |