Atkin-Lehner |
2+ 7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63784a |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12416 |
Modular degree for the optimal curve |
Δ |
2168656 = 24 · 7 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ -6 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91,298] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-17:1] |
Generators of the group modulo torsion |
j |
5266130944/135541 |
j-invariant |
L |
4.1995243652281 |
L(r)(E,1)/r! |
Ω |
2.5966707587288 |
Real period |
R |
0.40431813995697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568m1 |
Quadratic twists by: -4 |