Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640y |
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 |
[21:754:1] |
Generators of the group modulo torsion |
j |
-26881374154816/2513128531225 |
j-invariant |
L |
2.2986425768399 |
L(r)(E,1)/r! |
Ω |
0.47295858433406 |
Real period |
R |
0.81002253057988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996554025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640u1 60320w2 |
Quadratic twists by: -4 8 |