Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050dv |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-2100394800 = -1 · 24 · 37 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,-2523] |
[a1,a2,a3,a4,a6] |
Generators |
[23:51:1] |
Generators of the group modulo torsion |
j |
-30625/48 |
j-invariant |
L |
8.5517704696828 |
L(r)(E,1)/r! |
Ω |
0.5812238793837 |
Real period |
R |
0.30652884560416 |
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 |
7350b1 22050cc1 22050ek1 |
Quadratic twists by: -3 5 -7 |