Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642q |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
5.4960901701928E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20852114,34862412575] |
[a1,a2,a3,a4,a6] |
Generators |
[-5095:96755:1] |
Generators of the group modulo torsion |
j |
566001880654007645497/31023996182986752 |
j-invariant |
L |
6.3611361729678 |
L(r)(E,1)/r! |
Ω |
0.11022410987781 |
Real period |
R |
3.6069332857734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999367 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4422c1 |
Quadratic twists by: -11 |