Atkin-Lehner |
2+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45662i |
Isogeny class |
Conductor |
45662 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
619344 |
Modular degree for the optimal curve |
Δ |
-4622834679374938112 = -1 · 223 · 178 · 79 |
Discriminant |
Eigenvalues |
2+ -1 0 2 2 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,79325,-103054579] |
[a1,a2,a3,a4,a6] |
Generators |
[568341884110634183425:-26013322491358173528372:279409446128588777] |
Generators of the group modulo torsion |
j |
7913234375/662700032 |
j-invariant |
L |
4.0147264999787 |
L(r)(E,1)/r! |
Ω |
0.11624114895382 |
Real period |
R |
34.537911368835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45662a1 |
Quadratic twists by: 17 |