Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dh |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1580901196942080 = -1 · 28 · 39 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28392,518492] |
[a1,a2,a3,a4,a6] |
Generators |
[598:15210:1] |
Generators of the group modulo torsion |
j |
2809856/1755 |
j-invariant |
L |
5.138151067759 |
L(r)(E,1)/r! |
Ω |
0.29447768685502 |
Real period |
R |
2.1810443240227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999377739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30420g1 40560bo1 9360ca1 |
Quadratic twists by: -4 -3 13 |