Atkin-Lehner |
3+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
12087f |
Isogeny class |
Conductor |
12087 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
26434269 = 39 · 17 · 79 |
Discriminant |
Eigenvalues |
2 3+ 1 1 4 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-567,-5191] |
[a1,a2,a3,a4,a6] |
Generators |
[2532:11821:64] |
Generators of the group modulo torsion |
j |
1024192512/1343 |
j-invariant |
L |
9.981617639217 |
L(r)(E,1)/r! |
Ω |
0.97844853465829 |
Real period |
R |
5.100737180164 |
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 |
12087c1 |
Quadratic twists by: -3 |