Atkin-Lehner |
2- 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61596h |
Isogeny class |
Conductor |
61596 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56518518528 = 28 · 37 · 29 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3999,96662] |
[a1,a2,a3,a4,a6] |
j |
37897488592/302847 |
j-invariant |
L |
2.2429172776607 |
L(r)(E,1)/r! |
Ω |
1.1214586421049 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20532b2 |
Quadratic twists by: -3 |