Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568cv |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-1619887603536384 = -1 · 29 · 3 · 75 · 137 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18984,2176188] |
[a1,a2,a3,a4,a6] |
j |
-306182024/655473 |
j-invariant |
L |
4.2151182825962 |
L(r)(E,1)/r! |
Ω |
0.42151185395627 |
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 |
113568f1 8736f1 |
Quadratic twists by: -4 13 |