Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1302o |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
24498432 = 28 · 32 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1999,-34567] |
[a1,a2,a3,a4,a6] |
j |
883437180088177/24498432 |
j-invariant |
L |
2.8559851079466 |
L(r)(E,1)/r! |
Ω |
0.71399627698664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416z1 41664j1 3906g1 32550m1 |
Quadratic twists by: -4 8 -3 5 |