Atkin-Lehner |
3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22185g |
Isogeny class |
Conductor |
22185 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31360 |
Modular degree for the optimal curve |
Δ |
-3369346875 = -1 · 37 · 55 · 17 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-32178,2221708] |
[a1,a2,a3,a4,a6] |
j |
-5054443262672896/4621875 |
j-invariant |
L |
2.361505846015 |
L(r)(E,1)/r! |
Ω |
1.1807529230075 |
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 |
7395d1 110925x1 |
Quadratic twists by: -3 5 |