Atkin-Lehner |
2+ 3+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168q |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-12658311936 = -1 · 28 · 34 · 193 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -5 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29580,1968048] |
[a1,a2,a3,a4,a6] |
Generators |
[104:76:1] |
Generators of the group modulo torsion |
j |
-11181316420048336/49446531 |
j-invariant |
L |
6.1248584309327 |
L(r)(E,1)/r! |
Ω |
1.1145449887498 |
Real period |
R |
0.45794909520171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584ba1 |
Quadratic twists by: -4 |