Atkin-Lehner |
2- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2576k |
Isogeny class |
Conductor |
2576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
2637824 = 214 · 7 · 23 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64,-204] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] [-4:2:1] |
Generators of the group modulo torsion |
j |
7189057/644 |
j-invariant |
L |
2.6640663403779 |
L(r)(E,1)/r! |
Ω |
1.6953904517093 |
Real period |
R |
1.5713585845024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
322c1 10304s1 23184bq1 64400by1 |
Quadratic twists by: -4 8 -3 5 |