Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bv |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1266390380390625000 = -1 · 23 · 39 · 510 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,269883,-4455459] |
[a1,a2,a3,a4,a6] |
Generators |
[93:4584:1] |
Generators of the group modulo torsion |
j |
2595575/1512 |
j-invariant |
L |
3.1661730114616 |
L(r)(E,1)/r! |
Ω |
0.16087561666405 |
Real period |
R |
2.4601094599635 |
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 |
7350cr1 22050fu1 3150m1 |
Quadratic twists by: -3 5 -7 |