Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bo |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1908705947811840 = -1 · 226 · 39 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104043,-13087078] |
[a1,a2,a3,a4,a6] |
Generators |
[730213:12970150:1331] |
Generators of the group modulo torsion |
j |
-41713327443241/639221760 |
j-invariant |
L |
4.9326239126946 |
L(r)(E,1)/r! |
Ω |
0.1327916748148 |
Real period |
R |
9.2863952495025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1530l1 48960ff1 4080w1 61200fu1 |
Quadratic twists by: -4 8 -3 5 |