Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fj |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
102910812731311104 = 210 · 36 · 1310 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -5 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1028196,400996440] |
[a1,a2,a3,a4,a6] |
Generators |
[38549717:64720261:68921] |
Generators of the group modulo torsion |
j |
1168128 |
j-invariant |
L |
4.3038375595044 |
L(r)(E,1)/r! |
Ω |
0.33337114519091 |
Real period |
R |
12.910048267656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344cc1 24336bq1 10816bi1 97344ff1 |
Quadratic twists by: -4 8 -3 13 |