Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920n |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
80941913465600 = 28 · 52 · 118 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24716,1423384] |
[a1,a2,a3,a4,a6] |
Generators |
[799:22190:1] |
Generators of the group modulo torsion |
j |
6522827262879184/316179349475 |
j-invariant |
L |
3.5476376546849 |
L(r)(E,1)/r! |
Ω |
0.60157969504345 |
Real period |
R |
5.8972031202204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12980d2 |
Quadratic twists by: -4 |