Atkin-Lehner |
3+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126243h |
Isogeny class |
Conductor |
126243 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-31434507 = -1 · 33 · 132 · 832 |
Discriminant |
Eigenvalues |
-2 3+ 0 -3 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-195,1082] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:40:1] [50:79:8] |
Generators of the group modulo torsion |
j |
-179712000/6889 |
j-invariant |
L |
5.812721066003 |
L(r)(E,1)/r! |
Ω |
2.0687565449908 |
Real period |
R |
0.70244141122076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126243d1 126243c1 |
Quadratic twists by: -3 13 |