Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575j |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5927510238925 = 52 · 117 · 233 |
Discriminant |
Eigenvalues |
0 -1 5+ -1 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-135923,19333038] |
[a1,a2,a3,a4,a6] |
Generators |
[1594:-2787:8] |
Generators of the group modulo torsion |
j |
6270607851520/133837 |
j-invariant |
L |
3.8902144568019 |
L(r)(E,1)/r! |
Ω |
0.6989545369626 |
Real period |
R |
0.46381348275372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69575w2 6325c2 |
Quadratic twists by: 5 -11 |