Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659h |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-158874854734131 = -1 · 3 · 173 · 476 |
Discriminant |
Eigenvalues |
0 3- -3 -4 3 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-131067,18230120] |
[a1,a2,a3,a4,a6] |
Generators |
[2410:19877:8] |
Generators of the group modulo torsion |
j |
-23100424192/14739 |
j-invariant |
L |
3.2585093182762 |
L(r)(E,1)/r! |
Ω |
0.5696545205948 |
Real period |
R |
2.8600750179688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999749084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51a2 |
Quadratic twists by: -47 |