Atkin-Lehner |
2- 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256bo |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-7427557982208 = -1 · 215 · 3 · 7 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7768,296944] |
[a1,a2,a3,a4,a6] |
Generators |
[60:208:1] |
Generators of the group modulo torsion |
j |
-12657482097625/1813368648 |
j-invariant |
L |
5.4231703426636 |
L(r)(E,1)/r! |
Ω |
0.71857084649816 |
Real period |
R |
0.62893013827746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282k2 |
Quadratic twists by: -4 |