Atkin-Lehner |
2- 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18972f |
Isogeny class |
Conductor |
18972 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7560 |
Modular degree for the optimal curve |
Δ |
-6146928 = -1 · 24 · 36 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 2 3 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1965,-33527] |
[a1,a2,a3,a4,a6] |
Generators |
[160855920:6756137801:91125] |
Generators of the group modulo torsion |
j |
-71938912000/527 |
j-invariant |
L |
5.4151882715 |
L(r)(E,1)/r! |
Ω |
0.35853266514417 |
Real period |
R |
15.103751479164 |
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 |
75888v1 2108a1 |
Quadratic twists by: -4 -3 |