Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22540g |
Isogeny class |
Conductor |
22540 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-36064000 = -1 · 28 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,281] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
57344/2875 |
j-invariant |
L |
6.7755563496283 |
L(r)(E,1)/r! |
Ω |
1.5645009649542 |
Real period |
R |
1.4436033174806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160cg1 112700u1 22540k1 |
Quadratic twists by: -4 5 -7 |