Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7774c |
Isogeny class |
Conductor |
7774 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
863043102818 = 2 · 138 · 232 |
Discriminant |
Eigenvalues |
2- 0 0 0 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-304570,64772231] |
[a1,a2,a3,a4,a6] |
Generators |
[-90678:2396705:216] |
Generators of the group modulo torsion |
j |
647326865237625/178802 |
j-invariant |
L |
6.1717815534617 |
L(r)(E,1)/r! |
Ω |
0.71189324025912 |
Real period |
R |
8.6695324585681 |
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 |
62192h2 69966f2 598a2 |
Quadratic twists by: -4 -3 13 |