Atkin-Lehner |
2+ 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69520n |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
702986240 = 211 · 5 · 11 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2320,42228] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:158:1] |
Generators of the group modulo torsion |
j |
674597763362/343255 |
j-invariant |
L |
4.7946054589207 |
L(r)(E,1)/r! |
Ω |
1.5864886293049 |
Real period |
R |
1.511074636681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34760o2 |
Quadratic twists by: -4 |