Atkin-Lehner |
2- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55594f |
Isogeny class |
Conductor |
55594 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-2550263117248 = -1 · 26 · 7 · 112 · 196 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10537,-420695] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1392:1] |
Generators of the group modulo torsion |
j |
-2749884201/54208 |
j-invariant |
L |
4.6321594799592 |
L(r)(E,1)/r! |
Ω |
0.23533480149615 |
Real period |
R |
3.2805457376842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
154a1 |
Quadratic twists by: -19 |