Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22440n |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-33645840180480000 = -1 · 211 · 32 · 54 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27376,9004876] |
[a1,a2,a3,a4,a6] |
Generators |
[19401:2702150:1] |
Generators of the group modulo torsion |
j |
-1107948567665378/16428632900625 |
j-invariant |
L |
5.0108787280226 |
L(r)(E,1)/r! |
Ω |
0.31163529538163 |
Real period |
R |
4.0198260613309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880j2 67320r2 112200bh2 |
Quadratic twists by: -4 -3 5 |