Atkin-Lehner |
3+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12087c |
Isogeny class |
Conductor |
12087 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
36261 = 33 · 17 · 79 |
Discriminant |
Eigenvalues |
-2 3+ -1 1 -4 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-63,192] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:19:1] [3:5:1] |
Generators of the group modulo torsion |
j |
1024192512/1343 |
j-invariant |
L |
3.3718850960373 |
L(r)(E,1)/r! |
Ω |
3.6530087143802 |
Real period |
R |
0.46152163321749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12087f1 |
Quadratic twists by: -3 |