Atkin-Lehner |
5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10675b |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-19007442138671875 = -1 · 512 · 73 · 613 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 0 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-119533,17274218] |
[a1,a2,a3,a4,a6] |
j |
-12088454429016064/1216476296875 |
j-invariant |
L |
2.2611076830434 |
L(r)(E,1)/r! |
Ω |
0.37685128050723 |
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 |
96075t2 2135c2 74725b2 |
Quadratic twists by: -3 5 -7 |