Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960o |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3134771200000 = -1 · 215 · 55 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 11- 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-85185] |
[a1,a2,a3,a4,a6] |
Generators |
[65:440:1] |
Generators of the group modulo torsion |
j |
-8/95665625 |
j-invariant |
L |
5.0013207304218 |
L(r)(E,1)/r! |
Ω |
0.3661065898314 |
Real period |
R |
2.2768053852807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960d1 40480c1 |
Quadratic twists by: -4 8 |