Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696bl |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
2793042278940672 = 216 · 37 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36300,787952] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:1089:1] |
Generators of the group modulo torsion |
j |
62500/33 |
j-invariant |
L |
6.0200950154713 |
L(r)(E,1)/r! |
Ω |
0.39766848830283 |
Real period |
R |
0.94615477365381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696fm1 8712w1 23232g1 6336w1 |
Quadratic twists by: -4 8 -3 -11 |