Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800x |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-14901468750000 = -1 · 24 · 34 · 59 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5117,122738] |
[a1,a2,a3,a4,a6] |
j |
59257739264/59605875 |
j-invariant |
L |
3.6976901666783 |
L(r)(E,1)/r! |
Ω |
0.46221116818621 |
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 |
24360u1 |
Quadratic twists by: 5 |