Atkin-Lehner |
2+ 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550v |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3658051894777312500 = -1 · 22 · 32 · 56 · 13 · 298 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-305976,-112770902] |
[a1,a2,a3,a4,a6] |
Generators |
[2578:126122:1] |
Generators of the group modulo torsion |
j |
-202751340503592817/234115321265748 |
j-invariant |
L |
4.5607438226278 |
L(r)(E,1)/r! |
Ω |
0.097154797326314 |
Real period |
R |
2.9339414702435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2262k6 |
Quadratic twists by: 5 |