Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730br |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4835631150 = -1 · 2 · 34 · 52 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-313,3938] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-55:1] |
Generators of the group modulo torsion |
j |
-9841618207/14098050 |
j-invariant |
L |
5.2461331531081 |
L(r)(E,1)/r! |
Ω |
1.2323968487687 |
Real period |
R |
0.53210671930603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86730f2 |
Quadratic twists by: -7 |