Atkin-Lehner |
13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5083b |
Isogeny class |
Conductor |
5083 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
22680 |
Modular degree for the optimal curve |
Δ |
-3504185169026347 = -1 · 135 · 177 · 23 |
Discriminant |
Eigenvalues |
-2 0 2 0 0 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40739,4257734] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:2456:1] |
Generators of the group modulo torsion |
j |
-7477472169133314048/3504185169026347 |
j-invariant |
L |
2.1133793845739 |
L(r)(E,1)/r! |
Ω |
0.41537429565931 |
Real period |
R |
0.72684165536578 |
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 |
81328h1 45747e1 127075g1 66079d1 |
Quadratic twists by: -4 -3 5 13 |