Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gy |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
1.0008596699045E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40003908,-96203669562] |
[a1,a2,a3,a4,a6] |
j |
7079962908642659949376/100085966990454375 |
j-invariant |
L |
0.84115046690554 |
L(r)(E,1)/r! |
Ω |
0.0600821762076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600eo1 16800i3 100800nv1 6720bi1 |
Quadratic twists by: -4 8 -3 5 |