Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124i |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-2.0345005354742E+20 |
Discriminant |
Eigenvalues |
2- 0 3 7- 2 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1399489,254706998] |
[a1,a2,a3,a4,a6] |
Generators |
[-119856164849931557446:-3849456538026957852071:748361054355434792] |
Generators of the group modulo torsion |
j |
73008/49 |
j-invariant |
L |
7.3096011860916 |
L(r)(E,1)/r! |
Ω |
0.11209246936468 |
Real period |
R |
32.605228645247 |
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 |
4732c1 33124k1 |
Quadratic twists by: -7 13 |