Atkin-Lehner |
2- 3+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87768g |
Isogeny class |
Conductor |
87768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-410063330304 = -1 · 210 · 33 · 234 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 2 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4179,-108450] |
[a1,a2,a3,a4,a6] |
Generators |
[154525:3243920:343] |
Generators of the group modulo torsion |
j |
-291928909356/14831573 |
j-invariant |
L |
7.9226723203888 |
L(r)(E,1)/r! |
Ω |
0.29601807052862 |
Real period |
R |
6.6910377332761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87768a1 |
Quadratic twists by: -3 |