Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bp |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2168279280 = -1 · 24 · 313 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 1 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,267,1483] |
[a1,a2,a3,a4,a6] |
Generators |
[2:45:1] |
Generators of the group modulo torsion |
j |
180472064/185895 |
j-invariant |
L |
3.7282973228424 |
L(r)(E,1)/r! |
Ω |
0.9671541084023 |
Real period |
R |
1.9274577290487 |
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 |
3060g1 48960fl1 4080bf1 61200fv1 |
Quadratic twists by: -4 8 -3 5 |