Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7788a |
Isogeny class |
Conductor |
7788 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-498432 = -1 · 28 · 3 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,-33] |
[a1,a2,a3,a4,a6] |
j |
8192/1947 |
j-invariant |
L |
4.154292659198 |
L(r)(E,1)/r! |
Ω |
1.3847642197327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31152o1 124608k1 23364a1 85668h1 |
Quadratic twists by: -4 8 -3 -11 |