Atkin-Lehner |
2- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
36946u |
Isogeny class |
Conductor |
36946 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-658563336704 = -1 · 29 · 76 · 13 · 292 |
Discriminant |
Eigenvalues |
2- -1 3 7- -4 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2106,12739] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-241:1] |
Generators of the group modulo torsion |
j |
8780064047/5597696 |
j-invariant |
L |
8.5118562019913 |
L(r)(E,1)/r! |
Ω |
0.56594689914847 |
Real period |
R |
0.83555701218985 |
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 |
754d1 |
Quadratic twists by: -7 |