Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050cr |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-6299744129280000 = -1 · 211 · 315 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19917,-3964059] |
[a1,a2,a3,a4,a6] |
j |
-5591213575/40310784 |
j-invariant |
L |
1.4242469114958 |
L(r)(E,1)/r! |
Ω |
0.17803086393697 |
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 |
7350cz1 22050em1 22050ct1 |
Quadratic twists by: -3 5 -7 |