Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4930g |
Isogeny class |
Conductor |
4930 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
11951837020160 = 224 · 5 · 173 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13476,-579824] |
[a1,a2,a3,a4,a6] |
Generators |
[344:5788:1] |
Generators of the group modulo torsion |
j |
270650437376298049/11951837020160 |
j-invariant |
L |
3.2942779738827 |
L(r)(E,1)/r! |
Ω |
0.44431750431793 |
Real period |
R |
3.7071215311894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39440k1 44370q1 24650d1 83810bi1 |
Quadratic twists by: -4 -3 5 17 |