Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640da |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
120640 = 26 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- -1 0 13- 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8845,323147] |
[a1,a2,a3,a4,a6] |
Generators |
[6830:11:125] |
Generators of the group modulo torsion |
j |
1195876549033984/1885 |
j-invariant |
L |
6.5446355273247 |
L(r)(E,1)/r! |
Ω |
2.1292479284189 |
Real period |
R |
3.0736841288966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999438585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640bo1 30160o1 |
Quadratic twists by: -4 8 |