Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2856c |
Isogeny class |
Conductor |
2856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
5712 = 24 · 3 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-119,462] |
[a1,a2,a3,a4,a6] |
j |
11745974272/357 |
j-invariant |
L |
1.9896306815475 |
L(r)(E,1)/r! |
Ω |
3.9792613630951 |
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 |
5712b1 22848r1 8568k1 71400cg1 |
Quadratic twists by: -4 8 -3 5 |