Atkin-Lehner |
3- 11- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
91377h |
Isogeny class |
Conductor |
91377 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
5395720473 = 312 · 11 · 13 · 71 |
Discriminant |
Eigenvalues |
-1 3- 0 2 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1985,-33352] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:16:1] |
Generators of the group modulo torsion |
j |
1185966951625/7401537 |
j-invariant |
L |
4.6610138669601 |
L(r)(E,1)/r! |
Ω |
0.7155496793765 |
Real period |
R |
1.6284731899386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999924695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30459b1 |
Quadratic twists by: -3 |