Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12236g |
Isogeny class |
Conductor |
12236 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-318968048 = -1 · 24 · 74 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 4 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-294,-2027] |
[a1,a2,a3,a4,a6] |
Generators |
[31:133:1] |
Generators of the group modulo torsion |
j |
-176247139072/19935503 |
j-invariant |
L |
3.5554251703689 |
L(r)(E,1)/r! |
Ω |
0.57266830968525 |
Real period |
R |
0.77606554925378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48944i1 110124q1 85652d1 |
Quadratic twists by: -4 -3 -7 |