Atkin-Lehner |
2- 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280bf |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-410350387200 = -1 · 217 · 3 · 52 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4056,105456] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:416:1] [26:-130:1] |
Generators of the group modulo torsion |
j |
-1802041022809/100183200 |
j-invariant |
L |
7.8980460377317 |
L(r)(E,1)/r! |
Ω |
0.93361204712714 |
Real period |
R |
0.35248608089876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7410k1 |
Quadratic twists by: -4 |