Atkin-Lehner |
2+ 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822i |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5907251780174709378 = -1 · 2 · 32 · 178 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-593491,211044199] |
[a1,a2,a3,a4,a6] |
Generators |
[319:-7529:1] |
Generators of the group modulo torsion |
j |
-491411892194497/125563633938 |
j-invariant |
L |
2.4382519680321 |
L(r)(E,1)/r! |
Ω |
0.22792036965625 |
Real period |
R |
0.66861399107055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110466bj5 102b6 |
Quadratic twists by: -3 -19 |