Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600g |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
11022480000000 = 210 · 39 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6075,87750] |
[a1,a2,a3,a4,a6] |
j |
78732/35 |
j-invariant |
L |
1.2925634848165 |
L(r)(E,1)/r! |
Ω |
0.64628174240826 |
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 |
25200h1 100800bd1 12600bo1 2520l1 |
Quadratic twists by: -4 8 -3 5 |