Atkin-Lehner |
2- 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168cb |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-2244132864 = -1 · 214 · 34 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 3 -5 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102704,12702912] |
[a1,a2,a3,a4,a6] |
Generators |
[184:32:1] |
Generators of the group modulo torsion |
j |
-29250282695998897/547884 |
j-invariant |
L |
6.6219195389446 |
L(r)(E,1)/r! |
Ω |
1.0484176790091 |
Real period |
R |
0.78951352937917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146o1 |
Quadratic twists by: -4 |