Atkin-Lehner |
3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23985j |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
3316850047265625 = 36 · 58 · 132 · 413 |
Discriminant |
Eigenvalues |
1 3- 5- 2 -2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2182059,1241188488] |
[a1,a2,a3,a4,a6] |
Generators |
[6566:9717:8] |
Generators of the group modulo torsion |
j |
1576143528848064470449/4549862890625 |
j-invariant |
L |
6.9797432446739 |
L(r)(E,1)/r! |
Ω |
0.38873726090615 |
Real period |
R |
2.2443639787719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2665c1 119925be1 |
Quadratic twists by: -3 5 |