Atkin-Lehner |
7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26999h |
Isogeny class |
Conductor |
26999 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-21786964302509 = -1 · 78 · 194 · 29 |
Discriminant |
Eigenvalues |
1 3 -1 7- -3 1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17845,949094] |
[a1,a2,a3,a4,a6] |
Generators |
[58410:94618:729] |
Generators of the group modulo torsion |
j |
-5341937695641/185186141 |
j-invariant |
L |
10.195968607886 |
L(r)(E,1)/r! |
Ω |
0.67543056166069 |
Real period |
R |
3.773877429686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3857a1 |
Quadratic twists by: -7 |