Atkin-Lehner |
2- 3+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954br |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
761455296 = 26 · 33 · 72 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14484,-676971] |
[a1,a2,a3,a4,a6] |
j |
6857961687351313/15539904 |
j-invariant |
L |
5.2222612033936 |
L(r)(E,1)/r! |
Ω |
0.43518841788386 |
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 |
114954cd1 |
Quadratic twists by: -7 |