Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dx |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12386304 |
Modular degree for the optimal curve |
Δ |
-6.8868734976E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8054925,38945587250] |
[a1,a2,a3,a4,a6] |
Generators |
[-176449855:2707200000:68921] |
Generators of the group modulo torsion |
j |
1238798620042199/14760960000000 |
j-invariant |
L |
6.7693888606828 |
L(r)(E,1)/r! |
Ω |
0.066871447924485 |
Real period |
R |
6.3268677076535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950z1 37200bl1 22320bj1 |
Quadratic twists by: -4 -3 5 |