Atkin-Lehner |
3+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22185d |
Isogeny class |
Conductor |
22185 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-171871340821875 = -1 · 33 · 55 · 174 · 293 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 1 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15507,-974825] |
[a1,a2,a3,a4,a6] |
j |
-15273666678140928/6365605215625 |
j-invariant |
L |
4.1926777031166 |
L(r)(E,1)/r! |
Ω |
0.20963388515583 |
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 |
22185c1 110925g1 |
Quadratic twists by: -3 5 |