Atkin-Lehner |
7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20111a |
Isogeny class |
Conductor |
20111 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36192 |
Modular degree for the optimal curve |
Δ |
-21452902231579 = -1 · 7 · 139 · 172 |
Discriminant |
Eigenvalues |
0 2 -1 7+ 2 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,5859,-142907] |
[a1,a2,a3,a4,a6] |
j |
2097152/2023 |
j-invariant |
L |
1.4843856421359 |
L(r)(E,1)/r! |
Ω |
0.37109641053399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20111c1 |
Quadratic twists by: 13 |