Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742cc |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
364 |
Product of Tamagawa factors cp |
deg |
308625408 |
Modular degree for the optimal curve |
Δ |
1.1139657772667E+32 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14587549367,449465766561807] |
[a1,a2,a3,a4,a6] |
Generators |
[-49329:32413218:1] |
Generators of the group modulo torsion |
j |
261452426010489828863/84838659222822912 |
j-invariant |
L |
12.371189659766 |
L(r)(E,1)/r! |
Ω |
0.017307214161076 |
Real period |
R |
1.9637351465726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914c1 104742bs1 |
Quadratic twists by: -3 -23 |