Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800a |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-30456000000000 = -1 · 212 · 34 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13133,641637] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:900:1] |
Generators of the group modulo torsion |
j |
-3914430976/475875 |
j-invariant |
L |
5.7198284535065 |
L(r)(E,1)/r! |
Ω |
0.64147491996731 |
Real period |
R |
1.1145853652193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999823426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800v1 22560v1 |
Quadratic twists by: -4 5 |