Atkin-Lehner |
2+ 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778k |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-676373726952 = -1 · 23 · 33 · 73 · 113 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,984,37822] |
[a1,a2,a3,a4,a6] |
j |
105522070106375/676373726952 |
j-invariant |
L |
1.9737593293419 |
L(r)(E,1)/r! |
Ω |
0.6579197764473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70224bj2 26334bt2 61446d2 96558cq2 |
Quadratic twists by: -4 -3 -7 -11 |