Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040bh |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
6123600 = 24 · 37 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,47] |
[a1,a2,a3,a4,a6] |
j |
1048576/525 |
j-invariant |
L |
2.1139614673212 |
L(r)(E,1)/r! |
Ω |
2.1139614673212 |
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 |
1260e1 20160fd1 1680o1 25200du1 |
Quadratic twists by: -4 8 -3 5 |