Atkin-Lehner |
2- 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100688x |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-42000589568 = -1 · 28 · 7 · 293 · 312 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ -4 2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2989,64673] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-58:1] [-11:310:1] |
Generators of the group modulo torsion |
j |
-11540025843712/164064803 |
j-invariant |
L |
7.5145105569566 |
L(r)(E,1)/r! |
Ω |
1.147023986006 |
Real period |
R |
0.54594256162943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25172h1 |
Quadratic twists by: -4 |