Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240cg |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-3667534848000000000 = -1 · 219 · 36 · 59 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-956307,-371557294] |
[a1,a2,a3,a4,a6] |
Generators |
[1337:27200:1] |
Generators of the group modulo torsion |
j |
-32391289681150609/1228250000000 |
j-invariant |
L |
4.6132347471083 |
L(r)(E,1)/r! |
Ω |
0.076164928175435 |
Real period |
R |
0.5608242214699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1530g2 48960ew2 1360d2 61200et2 |
Quadratic twists by: -4 8 -3 5 |