Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350be |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
31118160500000 = 25 · 56 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-208480,36690147] |
[a1,a2,a3,a4,a6] |
Generators |
[219:1115:1] |
Generators of the group modulo torsion |
j |
545138290809/16928 |
j-invariant |
L |
8.9398931371888 |
L(r)(E,1)/r! |
Ω |
0.61473537657447 |
Real period |
R |
0.72713345268646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254c2 1150e2 |
Quadratic twists by: 5 -7 |