Atkin-Lehner |
3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
107085n |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
4.7935704158788E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24633606,-46942726005] |
[a1,a2,a3,a4,a6] |
Generators |
[-372602991:1448825236:132651] |
Generators of the group modulo torsion |
j |
933150245933942596729/2705845531640625 |
j-invariant |
L |
5.1730336905028 |
L(r)(E,1)/r! |
Ω |
0.067778703167698 |
Real period |
R |
12.720400965252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735f1 |
Quadratic twists by: -11 |