Atkin-Lehner |
2+ 3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8778b |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4007446674 = 2 · 3 · 74 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-731,6675] |
[a1,a2,a3,a4,a6] |
Generators |
[31:107:1] |
Generators of the group modulo torsion |
j |
43291617187897/4007446674 |
j-invariant |
L |
2.1081057779118 |
L(r)(E,1)/r! |
Ω |
1.354220616386 |
Real period |
R |
1.5566930176692 |
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 |
70224cz3 26334bm3 61446bc3 96558ck3 |
Quadratic twists by: -4 -3 -7 -11 |