Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
88752x |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33707520 |
Modular degree for the optimal curve |
Δ |
-5.176103693568E+24 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 1 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1305365032,18153667670896] |
[a1,a2,a3,a4,a6] |
Generators |
[-1115970:33019442:27] |
Generators of the group modulo torsion |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
4.4330639942837 |
L(r)(E,1)/r! |
Ω |
0.070662507423637 |
Real period |
R |
7.8419662743273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094k1 2064o1 |
Quadratic twists by: -4 -43 |