Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330cm |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1304502700410000 = 24 · 38 · 54 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28674,694980] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:1182:1] [-144:1422:1] |
Generators of the group modulo torsion |
j |
30400540561/15210000 |
j-invariant |
L |
7.642680531008 |
L(r)(E,1)/r! |
Ω |
0.42766944056289 |
Real period |
R |
1.1169082657842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110cn2 1170d2 |
Quadratic twists by: -3 -7 |