Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270br |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-998912250 = -1 · 2 · 39 · 53 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,-1519] |
[a1,a2,a3,a4,a6] |
Generators |
[126:203:8] |
Generators of the group modulo torsion |
j |
-47045881/1370250 |
j-invariant |
L |
7.1475426731447 |
L(r)(E,1)/r! |
Ω |
0.67856152245849 |
Real period |
R |
2.6333436381894 |
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 |
6090p1 91350bm1 127890gi1 |
Quadratic twists by: -3 5 -7 |