Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240t |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-935221386240 = -1 · 210 · 37 · 5 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2013,-30926] |
[a1,a2,a3,a4,a6] |
j |
1208446844/1252815 |
j-invariant |
L |
1.9161041038504 |
L(r)(E,1)/r! |
Ω |
0.47902602596259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6120w4 48960ep3 4080k4 61200y3 |
Quadratic twists by: -4 8 -3 5 |