Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680o |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-12913154240 = -1 · 26 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -1 3 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-751,-9379] |
[a1,a2,a3,a4,a6] |
j |
-6229504/1715 |
j-invariant |
L |
1.798028095454 |
L(r)(E,1)/r! |
Ω |
0.44950702386349 |
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 |
15680g1 7840x1 78400bb1 2240l1 |
Quadratic twists by: -4 8 5 -7 |