Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dd |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
-9.243076492652E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -5 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2239039,14571166623] |
[a1,a2,a3,a4,a6] |
Generators |
[-677:112896:1] |
Generators of the group modulo torsion |
j |
40251338884511/2997011332224 |
j-invariant |
L |
6.6426251308127 |
L(r)(E,1)/r! |
Ω |
0.081800723511047 |
Real period |
R |
1.4500887156886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999838839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304fe1 3822v1 17472m1 |
Quadratic twists by: -4 8 -7 |