Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640t |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
47371484480 = 26 · 5 · 236 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3350,75020] |
[a1,a2,a3,a4,a6] |
j |
438976/5 |
j-invariant |
L |
1.1367592381646 |
L(r)(E,1)/r! |
Ω |
1.1367592272328 |
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 |
84640i1 160b1 |
Quadratic twists by: -4 -23 |