Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840ba |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4085760 |
Modular degree for the optimal curve |
Δ |
-7.4169437174843E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16009797,33300975082] |
[a1,a2,a3,a4,a6] |
Generators |
[3080154:325620700:343] |
Generators of the group modulo torsion |
j |
4103528704038359904573/6706582499172024320 |
j-invariant |
L |
5.1079754843321 |
L(r)(E,1)/r! |
Ω |
0.061474619200047 |
Real period |
R |
10.386350397125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4230q1 33840bd1 |
Quadratic twists by: -4 -3 |