Atkin-Lehner |
2+ 3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402m |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5935104 |
Modular degree for the optimal curve |
Δ |
-2.2519717878591E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25083513,48896141805] |
[a1,a2,a3,a4,a6] |
j |
-2394204674724255511761553/30891245375296897024 |
j-invariant |
L |
1.9341533349283 |
L(r)(E,1)/r! |
Ω |
0.12088458420067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378r1 |
Quadratic twists by: -3 |