Atkin-Lehner |
2- 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280bt |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-1459710720 = -1 · 28 · 35 · 5 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1981,33335] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:171:1] [11:114:1] |
Generators of the group modulo torsion |
j |
-3360132358144/5701995 |
j-invariant |
L |
10.200690192289 |
L(r)(E,1)/r! |
Ω |
1.5131906728632 |
Real period |
R |
0.33705898322066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14820a1 |
Quadratic twists by: -4 |