Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650bc |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4816896 |
Modular degree for the optimal curve |
Δ |
2.8319764048773E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44644167,114539415741] |
[a1,a2,a3,a4,a6] |
Generators |
[1809:198333:1] |
Generators of the group modulo torsion |
j |
863913648706111516969/2486234429521920 |
j-invariant |
L |
3.8241601069202 |
L(r)(E,1)/r! |
Ω |
0.1185983985167 |
Real period |
R |
4.0305773041085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550cm1 6930be1 |
Quadratic twists by: -3 5 |