Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846w |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-3532364183642112 = -1 · 213 · 39 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10096,2830195] |
[a1,a2,a3,a4,a6] |
Generators |
[205:3569:1] |
Generators of the group modulo torsion |
j |
5782568321349/179462692864 |
j-invariant |
L |
9.0578737126971 |
L(r)(E,1)/r! |
Ω |
0.3349701855731 |
Real period |
R |
0.34667737924657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27846a1 |
Quadratic twists by: -3 |