Atkin-Lehner |
2- 3+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12036a |
Isogeny class |
Conductor |
12036 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-20798208 = -1 · 28 · 34 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 1 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51,153] |
[a1,a2,a3,a4,a6] |
Generators |
[3:18:1] |
Generators of the group modulo torsion |
j |
56188928/81243 |
j-invariant |
L |
2.7784575162437 |
L(r)(E,1)/r! |
Ω |
1.4611005873773 |
Real period |
R |
0.31693660019569 |
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 |
48144s1 36108d1 |
Quadratic twists by: -4 -3 |