Atkin-Lehner |
2+ 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9130d |
Isogeny class |
Conductor |
9130 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
-4705266016000 = -1 · 28 · 53 · 116 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6883,242718] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:560:1] |
Generators of the group modulo torsion |
j |
-36055067764835881/4705266016000 |
j-invariant |
L |
1.8408346270037 |
L(r)(E,1)/r! |
Ω |
0.74819346095521 |
Real period |
R |
2.4603725146883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
73040q1 82170br1 45650x1 100430bn1 |
Quadratic twists by: -4 -3 5 -11 |