Atkin-Lehner |
7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64757i |
Isogeny class |
Conductor |
64757 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-320609770019 = -1 · 72 · 11 · 296 |
Discriminant |
Eigenvalues |
0 -1 3 7- 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-75129,7951242] |
[a1,a2,a3,a4,a6] |
Generators |
[1530:5883:8] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
4.91799433666 |
L(r)(E,1)/r! |
Ω |
0.86287613533171 |
Real period |
R |
1.4248842143093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77b3 |
Quadratic twists by: 29 |