Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20102o |
Isogeny class |
Conductor |
20102 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
2989273310844544 = 27 · 193 · 237 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 3 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-339030292,2402706716944] |
[a1,a2,a3,a4,a6] |
Generators |
[286986:-136616:27] |
Generators of the group modulo torsion |
j |
29112011033527546515217/20192896 |
j-invariant |
L |
6.9689831610448 |
L(r)(E,1)/r! |
Ω |
0.19545315298788 |
Real period |
R |
2.5468226216544 |
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 |
874f2 |
Quadratic twists by: -23 |