Atkin-Lehner |
2+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344cb |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
15 |
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 |
7.2544750001099 |
L(r)(E,1)/r! |
Ω |
0.48363170172506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344cp1 14168f1 |
Quadratic twists by: -4 8 |