Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616g |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
243712 |
Modular degree for the optimal curve |
Δ |
-819679402347264 = -1 · 28 · 33 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 1 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58956,-5679428] |
[a1,a2,a3,a4,a6] |
Generators |
[87445:2148513:125] |
Generators of the group modulo torsion |
j |
-27648 |
j-invariant |
L |
5.7500677381422 |
L(r)(E,1)/r! |
Ω |
0.15286777398187 |
Real period |
R |
9.4036623749467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808w1 41616j1 41616i1 |
Quadratic twists by: -4 -3 17 |