Atkin-Lehner |
2- 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bm |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-145641406050 = -1 · 2 · 315 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 -1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1328,-25819] |
[a1,a2,a3,a4,a6] |
j |
-355045312441/199782450 |
j-invariant |
L |
1.5416200636597 |
L(r)(E,1)/r! |
Ω |
0.38540501591492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6090m1 91350bx1 127890gf1 |
Quadratic twists by: -3 5 -7 |