Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17340o |
Isogeny class |
Conductor |
17340 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8.1747157511719E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,85159,434928420] |
[a1,a2,a3,a4,a6] |
j |
611926016/732421875 |
j-invariant |
L |
2.708925023098 |
L(r)(E,1)/r! |
Ω |
0.15049583461656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360ck2 52020bj2 86700n2 17340f2 |
Quadratic twists by: -4 -3 5 17 |