Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450bg |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-325898437500 = -1 · 22 · 34 · 510 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 3 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,612,26892] |
[a1,a2,a3,a4,a6] |
j |
2595575/33372 |
j-invariant |
L |
5.704769575158 |
L(r)(E,1)/r! |
Ω |
0.71309619689475 |
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 |
123600ba1 46350v1 15450k1 |
Quadratic twists by: -4 -3 5 |