Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270s |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-274663872000000 = -1 · 212 · 36 · 56 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14940,372816] |
[a1,a2,a3,a4,a6] |
j |
505861496763839/376768000000 |
j-invariant |
L |
1.4047020501811 |
L(r)(E,1)/r! |
Ω |
0.35117551254529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2030b1 91350ed1 127890cs1 |
Quadratic twists by: -3 5 -7 |