Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cr |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
122287384213585920 = 220 · 35 · 5 · 73 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184056,25250004] |
[a1,a2,a3,a4,a6] |
Generators |
[372:2898:1] |
Generators of the group modulo torsion |
j |
168351140229842809/29855318411520 |
j-invariant |
L |
7.2062209073438 |
L(r)(E,1)/r! |
Ω |
0.31514359728136 |
Real period |
R |
0.3811077960179 |
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 |
4830a1 115920et1 |
Quadratic twists by: -4 -3 |