Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cd |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-138394267648 = -1 · 212 · 7 · 136 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1127,10791] |
[a1,a2,a3,a4,a6] |
j |
8000/7 |
j-invariant |
L |
1.3473325117475 |
L(r)(E,1)/r! |
Ω |
0.67366627918074 |
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 |
75712cu1 37856l1 448g1 |
Quadratic twists by: -4 8 13 |