Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050ev |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-3348843750 = -1 · 2 · 37 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 0 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,3147] |
[a1,a2,a3,a4,a6] |
j |
-2401/6 |
j-invariant |
L |
2.4975240514721 |
L(r)(E,1)/r! |
Ω |
1.2487620257361 |
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 |
7350j1 882d1 22050dx1 |
Quadratic twists by: -3 5 -7 |