Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800bf |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-224000 = -1 · 28 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -3 -1 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40,-100] |
[a1,a2,a3,a4,a6] |
j |
-221184/7 |
j-invariant |
L |
3.7897095256756 |
L(r)(E,1)/r! |
Ω |
0.9474273814189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
700g1 11200di1 25200fq1 2800bb1 |
Quadratic twists by: -4 8 -3 5 |