Atkin-Lehner |
3+ 5- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21855b |
Isogeny class |
Conductor |
21855 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-1270321875 = -1 · 32 · 55 · 312 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5- -4 -4 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-115,1818] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:46:1] [4:37:1] |
Generators of the group modulo torsion |
j |
-169663430656/1270321875 |
j-invariant |
L |
5.1841120100577 |
L(r)(E,1)/r! |
Ω |
1.3142785302141 |
Real period |
R |
0.19722273060387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65565h1 109275k1 |
Quadratic twists by: -3 5 |