Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560cc |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-83374391439360 = -1 · 212 · 311 · 5 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168085,-26471843] |
[a1,a2,a3,a4,a6] |
Generators |
[5407258044:637198253447:389017] |
Generators of the group modulo torsion |
j |
-128219247395209216/20355076035 |
j-invariant |
L |
5.9559338113804 |
L(r)(E,1)/r! |
Ω |
0.1178916287449 |
Real period |
R |
16.840137773955 |
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 |
7035j1 |
Quadratic twists by: -4 |