Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
56880bu |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-7076782080 = -1 · 213 · 37 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-5974] |
[a1,a2,a3,a4,a6] |
Generators |
[31:90:1] |
Generators of the group modulo torsion |
j |
-4826809/2370 |
j-invariant |
L |
6.8397112944615 |
L(r)(E,1)/r! |
Ω |
0.49157284744033 |
Real period |
R |
1.7392415310855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7110s1 18960j1 |
Quadratic twists by: -4 -3 |