Atkin-Lehner |
3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319v |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1250304 |
Modular degree for the optimal curve |
Δ |
-5168395560679050249 = -1 · 314 · 118 · 712 |
Discriminant |
Eigenvalues |
1 3- 3 -2 11- -1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1284498,-570590487] |
[a1,a2,a3,a4,a6] |
j |
-1499875426753/33074001 |
j-invariant |
L |
2.5493058040135 |
L(r)(E,1)/r! |
Ω |
0.070814050998249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25773u1 77319w1 |
Quadratic twists by: -3 -11 |