Atkin-Lehner |
2+ 3+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566c |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-26593253442 = -1 · 2 · 32 · 72 · 174 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,180,7866] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:66:1] |
Generators of the group modulo torsion |
j |
639390008375/26593253442 |
j-invariant |
L |
2.5591772083231 |
L(r)(E,1)/r! |
Ω |
0.8997549913234 |
Real period |
R |
0.35553806772427 |
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 |
108528bo2 40698bf2 94962m2 |
Quadratic twists by: -4 -3 -7 |