Atkin-Lehner |
2- 3+ 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526t |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
191232 |
Modular degree for the optimal curve |
Δ |
135065060928 = 26 · 39 · 7 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1433,11449] |
[a1,a2,a3,a4,a6] |
j |
16522921323/6862016 |
j-invariant |
L |
5.6349165060109 |
L(r)(E,1)/r! |
Ω |
0.9391526961492 |
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 |
113526a1 |
Quadratic twists by: -3 |