Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975x |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-20541670875 = -1 · 310 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 1 11- -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,627,3539] |
[a1,a2,a3,a4,a6] |
Generators |
[33:247:1] |
Generators of the group modulo torsion |
j |
217732612096/164333367 |
j-invariant |
L |
5.196431371328 |
L(r)(E,1)/r! |
Ω |
0.77647240348003 |
Real period |
R |
0.16730895225762 |
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 |
56925ba1 18975j1 |
Quadratic twists by: -3 5 |