Atkin-Lehner |
2- 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448bl |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
5008776155136 = 212 · 313 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7968,251696] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-3159:8] [25:261:1] |
Generators of the group modulo torsion |
j |
18736316416/1677429 |
j-invariant |
L |
10.070342690503 |
L(r)(E,1)/r! |
Ω |
0.74818787336086 |
Real period |
R |
3.3649110909462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6903e1 36816k1 |
Quadratic twists by: -4 -3 |