Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bd |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
60751253864448000 = 222 · 39 · 53 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-395498,95095081] |
[a1,a2,a3,a4,a6] |
Generators |
[-527:12791:1] |
Generators of the group modulo torsion |
j |
347587592236166043/3086483456000 |
j-invariant |
L |
6.6121711081217 |
L(r)(E,1)/r! |
Ω |
0.35242192661043 |
Real period |
R |
0.85282216994285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18270f1 91350s1 127890ef1 |
Quadratic twists by: -3 5 -7 |