Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bd |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-8470980 = -1 · 22 · 36 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[6:4:1] [8:14:1] |
Generators of the group modulo torsion |
j |
-1/11620 |
j-invariant |
L |
6.9966089454068 |
L(r)(E,1)/r! |
Ω |
1.0650040150621 |
Real period |
R |
1.6423902742283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5810d1 |
Quadratic twists by: -3 |