Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gi |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
472893832031250000 = 24 · 3 · 512 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-369133,-79606988] |
[a1,a2,a3,a4,a6] |
Generators |
[1113601932:-54303790625:438976] |
Generators of the group modulo torsion |
j |
189123395584/16078125 |
j-invariant |
L |
4.1511219025096 |
L(r)(E,1)/r! |
Ω |
0.1947371879475 |
Real period |
R |
10.658267037276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bk3 11760ct3 8400ck3 |
Quadratic twists by: -4 5 -7 |