Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cb |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-14393003835392 = -1 · 215 · 7 · 137 |
Discriminant |
Eigenvalues |
2- -1 4 7+ 5 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65121,6420673] |
[a1,a2,a3,a4,a6] |
j |
-193100552/91 |
j-invariant |
L |
2.7716784691238 |
L(r)(E,1)/r! |
Ω |
0.69291962246137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712cq1 37856b1 5824bb1 |
Quadratic twists by: -4 8 13 |