Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050du |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1093955625000 = -1 · 23 · 36 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,50397] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:225:1] |
Generators of the group modulo torsion |
j |
-49/40 |
j-invariant |
L |
7.6218775282434 |
L(r)(E,1)/r! |
Ω |
0.70426007297364 |
Real period |
R |
0.90187770833734 |
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 |
2450b1 4410o1 22050ej1 |
Quadratic twists by: -3 5 -7 |