Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48800i |
Isogeny class |
Conductor |
48800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
38125000000 = 26 · 510 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1825,28500] |
[a1,a2,a3,a4,a6] |
j |
672221376/38125 |
j-invariant |
L |
2.2711422925629 |
L(r)(E,1)/r! |
Ω |
1.1355711466112 |
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 |
48800a1 97600i2 9760a1 |
Quadratic twists by: -4 8 5 |