Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840bc |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-833203125000000 = -1 · 26 · 33 · 514 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 -3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3460,-1392142] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1500:1] |
Generators of the group modulo torsion |
j |
-71597448725824/13018798828125 |
j-invariant |
L |
8.9785167286412 |
L(r)(E,1)/r! |
Ω |
0.22337180252208 |
Real period |
R |
0.95703309652825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840n1 37920j1 |
Quadratic twists by: -4 8 |