Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260s |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
359043665299200 = 28 · 34 · 52 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49996,-4221820] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:294:1] |
Generators of the group modulo torsion |
j |
458891455696/11921175 |
j-invariant |
L |
7.9927744279756 |
L(r)(E,1)/r! |
Ω |
0.31978151996029 |
Real period |
R |
0.52071843888159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180e2 |
Quadratic twists by: -7 |