Atkin-Lehner |
3+ 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21855a |
Isogeny class |
Conductor |
21855 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
169920 |
Modular degree for the optimal curve |
Δ |
-20600651056640625 = -1 · 35 · 59 · 314 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 6 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,23984,6765938] |
[a1,a2,a3,a4,a6] |
j |
1525764222360859391/20600651056640625 |
j-invariant |
L |
1.136743778693 |
L(r)(E,1)/r! |
Ω |
0.28418594467325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65565o1 109275n1 |
Quadratic twists by: -3 5 |