Atkin-Lehner |
2+ 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822h |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.4569873712145E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 2 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1298946583,-3545542010343] |
[a1,a2,a3,a4,a6] |
Generators |
[192455099034068488447535258400552600:-23231137942697240087046305958372020241:68737520826772873277152701078125] |
Generators of the group modulo torsion |
j |
5152001506110026101064159/3096949914094458852996 |
j-invariant |
L |
4.2580087791757 |
L(r)(E,1)/r! |
Ω |
0.01898084595619 |
Real period |
R |
56.082968970452 |
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 |
110466bi2 1938j2 |
Quadratic twists by: -3 -19 |