Atkin-Lehner |
2- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
39494x |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
139104 |
Modular degree for the optimal curve |
Δ |
76954167134572 = 22 · 710 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 0 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45669,3728885] |
[a1,a2,a3,a4,a6] |
Generators |
[106:233:1] |
Generators of the group modulo torsion |
j |
37291376353/272428 |
j-invariant |
L |
8.9774644888124 |
L(r)(E,1)/r! |
Ω |
0.61471782223664 |
Real period |
R |
2.4340340028289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39494p1 |
Quadratic twists by: -7 |