Atkin-Lehner |
2- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65968i |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-2355183971467264 = -1 · 232 · 72 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -2 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34499,3396290] |
[a1,a2,a3,a4,a6] |
Generators |
[463:9310:1] |
Generators of the group modulo torsion |
j |
-1108621467544473/574996086784 |
j-invariant |
L |
5.3155836017745 |
L(r)(E,1)/r! |
Ω |
0.42793684824149 |
Real period |
R |
3.1053551611665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8246a1 |
Quadratic twists by: -4 |