Atkin-Lehner |
2+ 3+ 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504a |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18176 |
Modular degree for the optimal curve |
Δ |
-1976064 = -1 · 28 · 3 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 -4 3 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36,-96] |
[a1,a2,a3,a4,a6] |
Generators |
[8:8:1] |
Generators of the group modulo torsion |
j |
-20720464/7719 |
j-invariant |
L |
3.3146911289723 |
L(r)(E,1)/r! |
Ω |
0.95454969554228 |
Real period |
R |
1.7362590429514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000142725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61752q1 |
Quadratic twists by: -4 |