Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23256d |
Isogeny class |
Conductor |
23256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6308375675904 = 210 · 310 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69771,7092470] |
[a1,a2,a3,a4,a6] |
Generators |
[79:1440:1] |
Generators of the group modulo torsion |
j |
50317733422372/8450649 |
j-invariant |
L |
4.0645658024114 |
L(r)(E,1)/r! |
Ω |
0.72931643819102 |
Real period |
R |
2.7865584741878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46512b2 7752h2 |
Quadratic twists by: -4 -3 |