Atkin-Lehner |
2- 3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78660r |
Isogeny class |
Conductor |
78660 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-30583008000 = -1 · 28 · 37 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -5 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-8476] |
[a1,a2,a3,a4,a6] |
Generators |
[28:90:1] |
Generators of the group modulo torsion |
j |
-4194304/163875 |
j-invariant |
L |
7.05008620388 |
L(r)(E,1)/r! |
Ω |
0.51286292401139 |
Real period |
R |
0.38184808972744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26220b1 |
Quadratic twists by: -3 |