Atkin-Lehner |
2- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40672d |
Isogeny class |
Conductor |
40672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
2521664 = 26 · 312 · 41 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 2 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] |
Generators of the group modulo torsion |
j |
69934528/39401 |
j-invariant |
L |
3.4367906408892 |
L(r)(E,1)/r! |
Ω |
2.123537128955 |
Real period |
R |
1.6184273842106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40672a1 81344f1 |
Quadratic twists by: -4 8 |