Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3468c |
Isogeny class |
Conductor |
3468 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
540 |
Modular degree for the optimal curve |
Δ |
-1123632 = -1 · 24 · 35 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 4 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,22] |
[a1,a2,a3,a4,a6] |
j |
278528/243 |
j-invariant |
L |
1.7886355483462 |
L(r)(E,1)/r! |
Ω |
1.7886355483462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13872bk1 55488bn1 10404m1 86700bm1 |
Quadratic twists by: -4 8 -3 5 |