Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822b |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-5007792 = -1 · 24 · 3 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 0 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45,141] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] [2:7:1] |
Generators of the group modulo torsion |
j |
-28896625/13872 |
j-invariant |
L |
5.346922842298 |
L(r)(E,1)/r! |
Ω |
2.2655684315616 |
Real period |
R |
0.59002001085134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110466bo1 36822v1 |
Quadratic twists by: -3 -19 |