Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13294j |
Isogeny class |
Conductor |
13294 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
166334528 = 26 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 2 2 -4 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-142,139] |
[a1,a2,a3,a4,a6] |
Generators |
[19:59:1] |
Generators of the group modulo torsion |
j |
64481201/33856 |
j-invariant |
L |
9.7567128922667 |
L(r)(E,1)/r! |
Ω |
1.5925184438068 |
Real period |
R |
1.0210988900642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106352l1 119646q1 13294g1 |
Quadratic twists by: -4 -3 17 |