Atkin-Lehner |
2- 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79120t |
Isogeny class |
Conductor |
79120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-6329600 = -1 · 28 · 52 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -1 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180,-1000] |
[a1,a2,a3,a4,a6] |
Generators |
[5845:11740:343] |
Generators of the group modulo torsion |
j |
-2533446736/24725 |
j-invariant |
L |
8.2180471478443 |
L(r)(E,1)/r! |
Ω |
0.6510252080238 |
Real period |
R |
6.3116197699661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19780h1 |
Quadratic twists by: -4 |