Atkin-Lehner |
2+ 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15678c |
Isogeny class |
Conductor |
15678 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
239056413634818 = 2 · 37 · 138 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24651,1296859] |
[a1,a2,a3,a4,a6] |
j |
2272530490320817/327923749842 |
j-invariant |
L |
1.0683278084618 |
L(r)(E,1)/r! |
Ω |
0.53416390423089 |
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 |
125424u4 5226c3 |
Quadratic twists by: -4 -3 |