Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560bd |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
7909200 = 24 · 32 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95,300] |
[a1,a2,a3,a4,a6] |
j |
2725888/225 |
j-invariant |
L |
4.5649088166877 |
L(r)(E,1)/r! |
Ω |
2.2824544083677 |
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 |
20280i1 121680bb1 40560w1 |
Quadratic twists by: -4 -3 13 |