Atkin-Lehner |
2- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83824be |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-333936194271739904 = -1 · 215 · 139 · 312 |
Discriminant |
Eigenvalues |
2- 1 -1 -1 2 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3718056,-2760826444] |
[a1,a2,a3,a4,a6] |
Generators |
[3413300:90037454:1331] |
Generators of the group modulo torsion |
j |
-130864391533/7688 |
j-invariant |
L |
5.8695912388452 |
L(r)(E,1)/r! |
Ω |
0.054361200226408 |
Real period |
R |
6.7483692547767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10478h1 83824bh1 |
Quadratic twists by: -4 13 |