Atkin-Lehner |
5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22385b |
Isogeny class |
Conductor |
22385 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-2505441125 = -1 · 53 · 114 · 372 |
Discriminant |
Eigenvalues |
-1 1 5+ -1 11- -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,179,-2210] |
[a1,a2,a3,a4,a6] |
Generators |
[21:94:1] [54:380:1] |
Generators of the group modulo torsion |
j |
43307231/171125 |
j-invariant |
L |
5.3134363902131 |
L(r)(E,1)/r! |
Ω |
0.73354449638257 |
Real period |
R |
1.2072515519773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111925m1 22385a1 |
Quadratic twists by: 5 -11 |