Atkin-Lehner |
2+ 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302m |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0270103299767E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162018726,-793731635020] |
[a1,a2,a3,a4,a6] |
Generators |
[-158973204483543536038596737032381582270707322705885217641755:87266383431267870685800495582848214027605764183460551528666:21630168410267832930318715109122282710338543541004306125] |
Generators of the group modulo torsion |
j |
2253397919429727/492032 |
j-invariant |
L |
7.6819808739245 |
L(r)(E,1)/r! |
Ω |
0.042316355503898 |
Real period |
R |
90.76846044819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94302bt2 94302bs2 |
Quadratic twists by: -3 13 |