Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
774d |
Isogeny class |
Conductor |
774 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-2377869209964036 = -1 · 22 · 37 · 437 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 -5 -7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-539109,152510121] |
[a1,a2,a3,a4,a6] |
Generators |
[-564:16923:1] |
Generators of the group modulo torsion |
j |
-23769846831649063249/3261823333284 |
j-invariant |
L |
1.7881748996295 |
L(r)(E,1)/r! |
Ω |
0.44310020709001 |
Real period |
R |
0.1441285475624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6192o2 24768m2 258f2 19350by2 |
Quadratic twists by: -4 8 -3 5 |