Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78416a |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
378499054544 = 24 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2366,32955] |
[a1,a2,a3,a4,a6] |
Generators |
[7527:653016:1] |
Generators of the group modulo torsion |
j |
18966528/4901 |
j-invariant |
L |
5.6702640776513 |
L(r)(E,1)/r! |
Ω |
0.89111625307938 |
Real period |
R |
6.3631025205862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39208d1 6032a1 |
Quadratic twists by: -4 13 |