Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496ci |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2488915652608 = -1 · 212 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24836,-1508416] |
[a1,a2,a3,a4,a6] |
Generators |
[245:2667:1] |
Generators of the group modulo torsion |
j |
-1205909169984/1771561 |
j-invariant |
L |
3.6841908610635 |
L(r)(E,1)/r! |
Ω |
0.19013448876988 |
Real period |
R |
4.8441906632751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496dd1 17248p1 34496cg1 |
Quadratic twists by: -4 8 -7 |