Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bm |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-6700478203125000 = -1 · 23 · 36 · 510 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1383867,-626265459] |
[a1,a2,a3,a4,a6] |
Generators |
[253161516504131510:-12188083598979840147:89254693709000] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
3.8465282751959 |
L(r)(E,1)/r! |
Ω |
0.069597775740021 |
Real period |
R |
27.633988545585 |
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 |
2450v4 22050fq2 450d4 |
Quadratic twists by: -3 5 -7 |