Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480t |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
253952 |
Modular degree for the optimal curve |
Δ |
77933520 = 24 · 32 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1623615,796834080] |
[a1,a2,a3,a4,a6] |
j |
29583745779050561468416/4870845 |
j-invariant |
L |
0.77360006256121 |
L(r)(E,1)/r! |
Ω |
0.7736000625959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78960z1 118440q1 |
Quadratic twists by: -4 -3 |