Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320g |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
16928000 = 28 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 3 -2 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92,-276] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:5:1] |
Generators of the group modulo torsion |
j |
635904/125 |
j-invariant |
L |
4.9424537468735 |
L(r)(E,1)/r! |
Ω |
1.5626673063648 |
Real period |
R |
1.054277244797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21160e1 42320b1 |
Quadratic twists by: -4 -23 |