Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cv |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-542703616 = -1 · 216 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 2 1 7- -2 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,1793] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
-114244/49 |
j-invariant |
L |
10.479100429351 |
L(r)(E,1)/r! |
Ω |
1.5388217886655 |
Real period |
R |
1.7024551682971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712n1 18928f1 75712cc1 |
Quadratic twists by: -4 8 13 |