Atkin-Lehner |
2- 3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310cc |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
9289728 |
Modular degree for the optimal curve |
Δ |
9.6634393908991E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44539862,114325292261] |
[a1,a2,a3,a4,a6] |
Generators |
[3951:1669:1] |
Generators of the group modulo torsion |
j |
13404257926065177699800089/13255746763921920000 |
j-invariant |
L |
11.639062897145 |
L(r)(E,1)/r! |
Ω |
0.12860331277041 |
Real period |
R |
1.8854916818585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022097 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34770j1 |
Quadratic twists by: -3 |