Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400ce |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-187200 = -1 · 26 · 32 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,18] |
[a1,a2,a3,a4,a6] |
j |
109760/117 |
j-invariant |
L |
4.2309117197426 |
L(r)(E,1)/r! |
Ω |
2.1154558617618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400g1 31200bk1 62400bu1 |
Quadratic twists by: -4 8 5 |