Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670r |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1330004563499092320 = 25 · 36 · 5 · 77 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-213377239,1199675560346] |
[a1,a2,a3,a4,a6] |
Generators |
[8446:-2239:1] |
Generators of the group modulo torsion |
j |
9132291023129405735347801/11304852259680 |
j-invariant |
L |
3.8992314270346 |
L(r)(E,1)/r! |
Ω |
0.17237020169599 |
Real period |
R |
1.8851051332239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810c3 |
Quadratic twists by: -7 |