Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680m |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-256901120 = -1 · 220 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,-1] |
[a1,a2,a3,a4,a6] |
j |
34391/20 |
j-invariant |
L |
2.0696126744937 |
L(r)(E,1)/r! |
Ω |
1.0348063372468 |
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 |
15680co1 490d1 78400by1 15680bg1 |
Quadratic twists by: -4 8 5 -7 |