Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970cd |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-508252066020720 = -1 · 24 · 33 · 5 · 712 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66968,6774667] |
[a1,a2,a3,a4,a6] |
j |
-10456049121363/160002640 |
j-invariant |
L |
4.1900916490179 |
L(r)(E,1)/r! |
Ω |
0.52376145229569 |
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 |
74970k1 10710t1 |
Quadratic twists by: -3 -7 |