Atkin-Lehner |
3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
111825b |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
133744447265625 = 39 · 59 · 72 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-123230,16671772] |
[a1,a2,a3,a4,a6] |
j |
672912250947/434875 |
j-invariant |
L |
1.1559806890036 |
L(r)(E,1)/r! |
Ω |
0.57799075193485 |
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 |
111825a1 22365b1 |
Quadratic twists by: -3 5 |