Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9048n |
Isogeny class |
Conductor |
9048 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
1632697105104 = 24 · 36 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -6 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7779,-259434] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:78:1] [-45:39:1] |
Generators of the group modulo torsion |
j |
3254099827320832/102043569069 |
j-invariant |
L |
5.6113455178119 |
L(r)(E,1)/r! |
Ω |
0.50932830227961 |
Real period |
R |
0.61206380297535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18096g1 72384i1 27144f1 117624o1 |
Quadratic twists by: -4 8 -3 13 |