Atkin-Lehner |
2- 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
35088k |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-1508784 = -1 · 24 · 3 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[1979320:-6279335:175616] |
Generators of the group modulo torsion |
j |
131072/94299 |
j-invariant |
L |
6.6748996960788 |
L(r)(E,1)/r! |
Ω |
1.2527433244125 |
Real period |
R |
10.656452229287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8772b1 105264by1 |
Quadratic twists by: -4 -3 |