Atkin-Lehner |
2- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7990g |
Isogeny class |
Conductor |
7990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-4993750000 = -1 · 24 · 58 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-817,9809] |
[a1,a2,a3,a4,a6] |
j |
-60240898037601/4993750000 |
j-invariant |
L |
2.6755598004059 |
L(r)(E,1)/r! |
Ω |
1.337779900203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63920o1 71910g1 39950a1 |
Quadratic twists by: -4 -3 5 |