Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050c |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-39714002329050 = -1 · 2 · 39 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4548,-280414] |
[a1,a2,a3,a4,a6] |
j |
179685/686 |
j-invariant |
L |
1.3122231229456 |
L(r)(E,1)/r! |
Ω |
0.32805578073641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22050cz1 22050dj2 3150a2 |
Quadratic twists by: -3 5 -7 |