Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cg |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
15927483600 = 24 · 39 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-822,6739] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:108:1] |
Generators of the group modulo torsion |
j |
5266130944/1365525 |
j-invariant |
L |
8.6420586315532 |
L(r)(E,1)/r! |
Ω |
1.1601444504465 |
Real period |
R |
1.8622807330227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840cd1 28560bl1 |
Quadratic twists by: -4 -3 |