Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31416n |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-3878360994816 = -1 · 210 · 310 · 73 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3520,-49008] |
[a1,a2,a3,a4,a6] |
Generators |
[16:108:1] |
Generators of the group modulo torsion |
j |
4708996427516/3787461909 |
j-invariant |
L |
7.2868631884226 |
L(r)(E,1)/r! |
Ω |
0.43530328036309 |
Real period |
R |
0.8369869372848 |
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 |
62832j1 94248i1 |
Quadratic twists by: -4 -3 |