Atkin-Lehner |
2- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344cp |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-982506008264704 = -1 · 214 · 7 · 113 · 235 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 11+ 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-312709,-67427997] |
[a1,a2,a3,a4,a6] |
j |
-206407894550668288/59967407731 |
j-invariant |
L |
2.5235782672647 |
L(r)(E,1)/r! |
Ω |
0.10094313278176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344cb1 28336e1 |
Quadratic twists by: -4 8 |