Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568ci |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
14252447157312 = 26 · 3 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13914,-600432] |
[a1,a2,a3,a4,a6] |
j |
438976/21 |
j-invariant |
L |
0.44087932708659 |
L(r)(E,1)/r! |
Ω |
0.44087967880318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568bk1 113568l1 |
Quadratic twists by: -4 13 |