Atkin-Lehner |
2- 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98384i |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1574144 = -1 · 28 · 11 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 11+ 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[18:78:1] |
Generators of the group modulo torsion |
j |
2122416/6149 |
j-invariant |
L |
4.1481264125462 |
L(r)(E,1)/r! |
Ω |
1.3717938242264 |
Real period |
R |
3.0238701578944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24596g1 |
Quadratic twists by: -4 |