Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
69580l |
Isogeny class |
Conductor |
69580 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2324828947280 = 24 · 5 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5161,124146] |
[a1,a2,a3,a4,a6] |
j |
8077950976/1235045 |
j-invariant |
L |
2.3526428668044 |
L(r)(E,1)/r! |
Ω |
0.78421428896628 |
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 |
9940h1 |
Quadratic twists by: -7 |