Atkin-Lehner |
2- 3- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614bk |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-11429925458887584 = -1 · 25 · 37 · 117 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41846,6118949] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-1739:1] |
Generators of the group modulo torsion |
j |
-11115994063646233/15678910094496 |
j-invariant |
L |
14.694538461958 |
L(r)(E,1)/r! |
Ω |
0.3629409140309 |
Real period |
R |
0.14459790137218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32538k1 |
Quadratic twists by: -3 |