Atkin-Lehner |
2+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116242f |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-2.0195682307934E+20 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,222730,-682443436] |
[a1,a2,a3,a4,a6] |
Generators |
[175884463529195111321508371340:-9686064855086702000762024366918:59044635212266879423680069] |
Generators of the group modulo torsion |
j |
25973783183375/4292763123712 |
j-invariant |
L |
7.0792422837385 |
L(r)(E,1)/r! |
Ω |
0.084235664152204 |
Real period |
R |
42.020457390136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118i1 |
Quadratic twists by: -19 |