Atkin-Lehner |
2- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7696c |
Isogeny class |
Conductor |
7696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-27065964630016 = -1 · 212 · 136 · 372 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27011,-1726910] |
[a1,a2,a3,a4,a6] |
j |
-532090803662937/6607901521 |
j-invariant |
L |
0.3721288146271 |
L(r)(E,1)/r! |
Ω |
0.18606440731355 |
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 |
481a2 30784p2 69264q2 100048l2 |
Quadratic twists by: -4 8 -3 13 |