Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
29880o |
Isogeny class |
Conductor |
29880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1548979200 = -1 · 210 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,2014] |
[a1,a2,a3,a4,a6] |
Generators |
[3:40:1] |
Generators of the group modulo torsion |
j |
-470596/2075 |
j-invariant |
L |
5.8063869889936 |
L(r)(E,1)/r! |
Ω |
1.3102139109196 |
Real period |
R |
1.1079082088432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59760m1 3320a1 |
Quadratic twists by: -4 -3 |