Atkin-Lehner |
2+ 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
77714c |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16572294144224 = 25 · 77 · 132 · 612 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59348,-5546640] |
[a1,a2,a3,a4,a6] |
Generators |
[19380:121155:64] |
Generators of the group modulo torsion |
j |
196497872377353/140862176 |
j-invariant |
L |
3.3823479140462 |
L(r)(E,1)/r! |
Ω |
0.30589077368015 |
Real period |
R |
5.5286857366745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11102a2 |
Quadratic twists by: -7 |