Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dj |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6051657497760000000 = 211 · 38 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12838408,-17709656812] |
[a1,a2,a3,a4,a6] |
Generators |
[-2062:300:1] |
Generators of the group modulo torsion |
j |
62161150998242/1607445 |
j-invariant |
L |
7.989923836263 |
L(r)(E,1)/r! |
Ω |
0.079757665252747 |
Real period |
R |
1.5652735012579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400r6 11760e5 8400c5 |
Quadratic twists by: -4 5 -7 |