Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256v |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1946133358670592 = -1 · 28 · 33 · 78 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31212,31212] |
[a1,a2,a3,a4,a6] |
Generators |
[51:1326:1] |
Generators of the group modulo torsion |
j |
13135137613166000/7602083432307 |
j-invariant |
L |
6.3295859743249 |
L(r)(E,1)/r! |
Ω |
0.27934207387784 |
Real period |
R |
1.8882422207698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128c2 |
Quadratic twists by: -4 |