Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31654p |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
13354332342848 = 26 · 76 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7498,-180713] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:293:1] |
Generators of the group modulo torsion |
j |
396255588625/113509952 |
j-invariant |
L |
12.021730600716 |
L(r)(E,1)/r! |
Ω |
0.52424956640182 |
Real period |
R |
3.8218854057196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
646e1 |
Quadratic twists by: -7 |