Atkin-Lehner |
2+ 3- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
19422f |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-190482550425648 = -1 · 24 · 36 · 134 · 833 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 5 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5457,-647011] |
[a1,a2,a3,a4,a6] |
Generators |
[2838:26635:27] |
Generators of the group modulo torsion |
j |
24649793075727/261292936112 |
j-invariant |
L |
3.7975049255503 |
L(r)(E,1)/r! |
Ω |
0.27941456776782 |
Real period |
R |
1.1325778262886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2158c1 |
Quadratic twists by: -3 |