Atkin-Lehner |
2- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
59696s |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
13477249785266176 = 225 · 73 · 134 · 41 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107576,12414832] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:4732:1] [-4:3584:1] |
Generators of the group modulo torsion |
j |
33613518667426489/3290344185856 |
j-invariant |
L |
7.9861759772252 |
L(r)(E,1)/r! |
Ω |
0.38647332062062 |
Real period |
R |
0.86100984111976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462b1 |
Quadratic twists by: -4 |