Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600cw |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1.2753214597519E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -3 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,790687,471410943] |
[a1,a2,a3,a4,a6] |
Generators |
[2227:115248:1] |
Generators of the group modulo torsion |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
6.9287839154803 |
L(r)(E,1)/r! |
Ω |
0.12910190707347 |
Real period |
R |
0.1355280450624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600eh1 4200c1 100800fa1 33600bl1 |
Quadratic twists by: -4 8 -3 5 |