Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28980j |
Isogeny class |
Conductor |
28980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
5545685250000 = 24 · 39 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90912,-10550059] |
[a1,a2,a3,a4,a6] |
j |
7124261256822784/475453125 |
j-invariant |
L |
3.2993412497822 |
L(r)(E,1)/r! |
Ω |
0.27494510414842 |
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 |
115920ed1 9660b1 |
Quadratic twists by: -4 -3 |