Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bv |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
4596480 |
Modular degree for the optimal curve |
Δ |
-5.7604814754679E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13224415,-18547358887] |
[a1,a2,a3,a4,a6] |
Generators |
[6374:-398323:1] |
Generators of the group modulo torsion |
j |
-6338270396050790023/14275010101248 |
j-invariant |
L |
13.0918095509 |
L(r)(E,1)/r! |
Ω |
0.039579184171752 |
Real period |
R |
1.4507680875749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974bj1 |
Quadratic twists by: -7 |