Atkin-Lehner |
2+ 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960y |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
3385410000 = 24 · 3 · 54 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-455,2328] |
[a1,a2,a3,a4,a6] |
j |
652517349376/211588125 |
j-invariant |
L |
2.6044495664547 |
L(r)(E,1)/r! |
Ω |
1.3022247609786 |
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 |
39480x1 |
Quadratic twists by: -4 |