Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bk |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-1.2159633233109E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6764067,18093704341] |
[a1,a2,a3,a4,a6] |
Generators |
[4889:316718:1] |
Generators of the group modulo torsion |
j |
-10637008249/37791360 |
j-invariant |
L |
4.1373917545851 |
L(r)(E,1)/r! |
Ω |
0.09162674475907 |
Real period |
R |
5.6443560303603 |
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 |
7350bs1 4410bc1 22050w1 |
Quadratic twists by: -3 5 -7 |