Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660br |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4118400 |
Modular degree for the optimal curve |
Δ |
-1.4220845530433E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85848,-1814323196] |
[a1,a2,a3,a4,a6] |
Generators |
[3053:164025:1] |
Generators of the group modulo torsion |
j |
3186827264/64769371875 |
j-invariant |
L |
6.9776135854048 |
L(r)(E,1)/r! |
Ω |
0.069953028756144 |
Real period |
R |
1.6624521008003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38220t1 2340f1 |
Quadratic twists by: -3 -7 |