Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376bf |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
5834076340224 = 214 · 3 · 116 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14264,640596] |
[a1,a2,a3,a4,a6] |
Generators |
[60:66:1] |
Generators of the group modulo torsion |
j |
78364289651257/1424335044 |
j-invariant |
L |
5.988355720965 |
L(r)(E,1)/r! |
Ω |
0.75880758200416 |
Real period |
R |
1.315299570665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422a1 106128bg1 |
Quadratic twists by: -4 -3 |