Atkin-Lehner |
2+ 11+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34408b |
Isogeny class |
Conductor |
34408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-12868592 = -1 · 24 · 112 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 1 2 2 11+ 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192,977] |
[a1,a2,a3,a4,a6] |
Generators |
[4:17:1] |
Generators of the group modulo torsion |
j |
-49177608448/804287 |
j-invariant |
L |
8.3451448617774 |
L(r)(E,1)/r! |
Ω |
2.2489471975894 |
Real period |
R |
0.4638361935933 |
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 |
68816e1 |
Quadratic twists by: -4 |