Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050j |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
4.981724452156E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56494167,163099139741] |
[a1,a2,a3,a4,a6] |
j |
551105805571803/1376829440 |
j-invariant |
L |
1.8089542751997 |
L(r)(E,1)/r! |
Ω |
0.11305964219998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22050dg1 4410y1 3150d1 |
Quadratic twists by: -3 5 -7 |