Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60876j |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-100238870426816304 = -1 · 24 · 310 · 19 · 895 |
Discriminant |
Eigenvalues |
2- 3- 3 0 3 -3 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,15232637] |
[a1,a2,a3,a4,a6] |
Generators |
[39794:2806893:8] |
Generators of the group modulo torsion |
j |
76307873792/8593867492011 |
j-invariant |
L |
8.2354467793533 |
L(r)(E,1)/r! |
Ω |
0.26628218494096 |
Real period |
R |
7.7318792289368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292c1 |
Quadratic twists by: -3 |