Atkin-Lehner |
5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
21775g |
Isogeny class |
Conductor |
21775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4368 |
Modular degree for the optimal curve |
Δ |
-1195991875 = -1 · 54 · 134 · 67 |
Discriminant |
Eigenvalues |
0 0 5- 0 -2 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,100,-1619] |
[a1,a2,a3,a4,a6] |
Generators |
[19:84:1] |
Generators of the group modulo torsion |
j |
176947200/1913587 |
j-invariant |
L |
3.419365233697 |
L(r)(E,1)/r! |
Ω |
0.75779477999836 |
Real period |
R |
0.7520429285847 |
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 |
21775c1 |
Quadratic twists by: 5 |