Atkin-Lehner |
2- 3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030bl |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8584377101820 = 22 · 316 · 5 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56048,5119287] |
[a1,a2,a3,a4,a6] |
Generators |
[766:5931:8] [125:171:1] |
Generators of the group modulo torsion |
j |
26709716560683961/11775551580 |
j-invariant |
L |
12.961915726826 |
L(r)(E,1)/r! |
Ω |
0.7227036960986 |
Real period |
R |
4.4838278110365 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010d2 |
Quadratic twists by: -3 |