Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664ba |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
8940451649472 = 26 · 32 · 75 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21448,1207594] |
[a1,a2,a3,a4,a6] |
Generators |
[570:1519:8] |
Generators of the group modulo torsion |
j |
17050000247272000/139694557023 |
j-invariant |
L |
4.700931086856 |
L(r)(E,1)/r! |
Ω |
0.73535525600778 |
Real period |
R |
0.63927347339243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664bf1 20832bg2 124992dc1 |
Quadratic twists by: -4 8 -3 |