Atkin-Lehner |
2- 3- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614bj |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-130650872616 = -1 · 23 · 311 · 11 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,238,17273] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1315:1] |
Generators of the group modulo torsion |
j |
2053225511/179219304 |
j-invariant |
L |
11.406407527882 |
L(r)(E,1)/r! |
Ω |
0.79638656507422 |
Real period |
R |
0.59677925380693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32538j1 |
Quadratic twists by: -3 |