Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5600g |
Isogeny class |
Conductor |
5600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1400000000000 = -1 · 212 · 511 · 7 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 7 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,867,-56363] |
[a1,a2,a3,a4,a6] |
j |
1124864/21875 |
j-invariant |
L |
1.6611724837443 |
L(r)(E,1)/r! |
Ω |
0.41529312093609 |
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 |
5600m1 11200t1 50400ds1 1120m1 |
Quadratic twists by: -4 8 -3 5 |