Atkin-Lehner |
2+ 5- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89680a |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12868003840 = -1 · 211 · 5 · 192 · 592 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160,5460] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:76:1] [28:154:1] |
Generators of the group modulo torsion |
j |
-222569282/6283205 |
j-invariant |
L |
8.1971918895528 |
L(r)(E,1)/r! |
Ω |
1.0553106585677 |
Real period |
R |
1.9418907178767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44840e2 |
Quadratic twists by: -4 |