Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
22090h |
Isogeny class |
Conductor |
22090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
252672 |
Modular degree for the optimal curve |
Δ |
-76196117317635200 = -1 · 27 · 52 · 478 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 4 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-361217,84458869] |
[a1,a2,a3,a4,a6] |
Generators |
[453:3521:1] |
Generators of the group modulo torsion |
j |
-218900761/3200 |
j-invariant |
L |
3.525305984713 |
L(r)(E,1)/r! |
Ω |
0.34509694326455 |
Real period |
R |
5.1077038691858 |
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 |
110450w1 22090c1 |
Quadratic twists by: 5 -47 |