Atkin-Lehner |
2- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42160p |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
10792960 = 212 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 2 7 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] |
Generators of the group modulo torsion |
j |
4826809/2635 |
j-invariant |
L |
6.178190029398 |
L(r)(E,1)/r! |
Ω |
1.9832965822694 |
Real period |
R |
1.5575557595942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2635b1 |
Quadratic twists by: -4 |