Atkin-Lehner |
2- 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47328x |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-7.5655642753356E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 0 1 -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3782381,5051413371] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:75429:1] |
Generators of the group modulo torsion |
j |
-1461031901533565161984/1847061590658107139 |
j-invariant |
L |
6.5006510973025 |
L(r)(E,1)/r! |
Ω |
0.11921154870155 |
Real period |
R |
0.12983423901797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47328r1 94656bh1 |
Quadratic twists by: -4 8 |