Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416fh |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
2375922785116608 = 26 · 322 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33879,-510928] |
[a1,a2,a3,a4,a6] |
j |
92173898928448/50924270943 |
j-invariant |
L |
3.013976238818 |
L(r)(E,1)/r! |
Ω |
0.37674702979887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416gm1 26208j3 17472bw1 |
Quadratic twists by: -4 8 -3 |