Atkin-Lehner |
2+ 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3666i |
Isogeny class |
Conductor |
3666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-4684972032 = -1 · 216 · 32 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91,3302] |
[a1,a2,a3,a4,a6] |
Generators |
[10:53:1] |
Generators of the group modulo torsion |
j |
-82029363625/4684972032 |
j-invariant |
L |
3.1345173514458 |
L(r)(E,1)/r! |
Ω |
1.1361201865285 |
Real period |
R |
1.3794831693923 |
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 |
29328l1 117312a1 10998p1 91650cd1 |
Quadratic twists by: -4 8 -3 5 |