Atkin-Lehner |
2+ 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69874d |
Isogeny class |
Conductor |
69874 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
54021126628 = 22 · 77 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117217,15475977] |
[a1,a2,a3,a4,a6] |
Generators |
[324:-3543:1] |
Generators of the group modulo torsion |
j |
1513942435265625/459172 |
j-invariant |
L |
3.2761204912175 |
L(r)(E,1)/r! |
Ω |
0.89999348857568 |
Real period |
R |
0.91004005371625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9982a1 |
Quadratic twists by: -7 |