Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050cz |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-54477369450 = -1 · 2 · 33 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,505,10217] |
[a1,a2,a3,a4,a6] |
Generators |
[30:863:8] |
Generators of the group modulo torsion |
j |
179685/686 |
j-invariant |
L |
7.8952333053727 |
L(r)(E,1)/r! |
Ω |
0.79665136065459 |
Real period |
R |
2.4776312748921 |
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 |
22050c2 22050m1 3150v1 |
Quadratic twists by: -3 5 -7 |