Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640u |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-160840225998400 = -1 · 26 · 52 · 132 · 296 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2496,-611230] |
[a1,a2,a3,a4,a6] |
Generators |
[2763275:32950554:15625] |
Generators of the group modulo torsion |
j |
-26881374154816/2513128531225 |
j-invariant |
L |
11.919021023934 |
L(r)(E,1)/r! |
Ω |
0.25431828683363 |
Real period |
R |
7.8110918466088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640y1 60320g2 |
Quadratic twists by: -4 8 |