Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822u |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
729399339024 = 24 · 3 · 17 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7769,257111] |
[a1,a2,a3,a4,a6] |
j |
1102302937/15504 |
j-invariant |
L |
3.6163539851913 |
L(r)(E,1)/r! |
Ω |
0.90408849629903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110466i1 1938f1 |
Quadratic twists by: -3 -19 |