Atkin-Lehner |
3- 5- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21855c |
Isogeny class |
Conductor |
21855 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1854528 |
Modular degree for the optimal curve |
Δ |
-3.5113301067993E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- 5 2 -1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12407900,16845800625] |
[a1,a2,a3,a4,a6] |
Generators |
[2475:34800:1] |
Generators of the group modulo torsion |
j |
-211260628917111905292657601/351133010679931640625 |
j-invariant |
L |
5.1606295431451 |
L(r)(E,1)/r! |
Ω |
0.17036744695336 |
Real period |
R |
1.1650450553137 |
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 |
65565i1 109275d1 |
Quadratic twists by: -3 5 |