Atkin-Lehner |
2- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10370f |
Isogeny class |
Conductor |
10370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1720590400 = -1 · 26 · 52 · 172 · 612 |
Discriminant |
Eigenvalues |
2- 0 5- 2 0 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,233,1391] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:34:1] |
Generators of the group modulo torsion |
j |
1404551713599/1720590400 |
j-invariant |
L |
7.1838201401745 |
L(r)(E,1)/r! |
Ω |
0.99966999452314 |
Real period |
R |
0.59884930189732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82960f2 93330g2 51850a2 |
Quadratic twists by: -4 -3 5 |