Atkin-Lehner |
2+ 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778c |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-485576494676009352 = -1 · 23 · 314 · 74 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2305,33525469] |
[a1,a2,a3,a4,a6] |
j |
-1355285728329625/485576494676009352 |
j-invariant |
L |
0.939161957025 |
L(r)(E,1)/r! |
Ω |
0.23479048925625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70224cv2 26334bn2 61446w2 96558cc2 |
Quadratic twists by: -4 -3 -7 -11 |