Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22540k |
Isogeny class |
Conductor |
22540 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-4242893536000 = -1 · 28 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,915,-98225] |
[a1,a2,a3,a4,a6] |
Generators |
[45:190:1] |
Generators of the group modulo torsion |
j |
57344/2875 |
j-invariant |
L |
2.6687642922124 |
L(r)(E,1)/r! |
Ω |
0.37270925607388 |
Real period |
R |
2.3868151458728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90160ck1 112700d1 22540g1 |
Quadratic twists by: -4 5 -7 |