Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104bz |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-57207791296 = -1 · 26 · 197 |
Discriminant |
Eigenvalues |
2- 2 -3 1 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1110917,-450312229] |
[a1,a2,a3,a4,a6] |
Generators |
[22469223997643025932874182:219911539875530199402232911:17818808681499482606741] |
Generators of the group modulo torsion |
j |
-50357871050752/19 |
j-invariant |
L |
6.1306567698409 |
L(r)(E,1)/r! |
Ω |
0.073527385454287 |
Real period |
R |
41.689614909892 |
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 |
23104u3 5776q3 1216q3 |
Quadratic twists by: -4 8 -19 |