Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992o |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
30616040448 = 210 · 39 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864,4968] |
[a1,a2,a3,a4,a6] |
j |
3538944/1519 |
j-invariant |
L |
2.1187406685676 |
L(r)(E,1)/r! |
Ω |
1.059370172107 |
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 |
124992dp1 7812d1 124992p1 |
Quadratic twists by: -4 8 -3 |