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 |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-4447132200 = -1 · 23 · 33 · 52 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2802,-56484] |
[a1,a2,a3,a4,a6] |
j |
-30642435/56 |
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 |
22050cz2 22050dj1 3150a1 |
Quadratic twists by: -3 5 -7 |