Atkin-Lehner |
2- 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560bn |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-32690233497600000 = -1 · 214 · 34 · 55 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36864,-8273664] |
[a1,a2,a3,a4,a6] |
j |
1352568769155071/7981014037500 |
j-invariant |
L |
2.2183328267946 |
L(r)(E,1)/r! |
Ω |
0.1848610188283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070k1 |
Quadratic twists by: -4 |