Atkin-Lehner |
3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771c |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
3459858633 = 32 · 7 · 116 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 4 7+ 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426,-2034] |
[a1,a2,a3,a4,a6] |
j |
4826809/1953 |
j-invariant |
L |
1.0885219799863 |
L(r)(E,1)/r! |
Ω |
1.0885219302824 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
651b1 |
Quadratic twists by: -11 |