Atkin-Lehner |
3+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
12483d |
Isogeny class |
Conductor |
12483 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
986893497 = 33 · 193 · 732 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 -4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-356,2182] |
[a1,a2,a3,a4,a6] |
Generators |
[4:26:1] |
Generators of the group modulo torsion |
j |
184317154371/36551611 |
j-invariant |
L |
1.4277217263957 |
L(r)(E,1)/r! |
Ω |
1.4820781226569 |
Real period |
R |
0.32110806768995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12483c1 |
Quadratic twists by: -3 |