Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840cd |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-28986499399680000 = -1 · 228 · 37 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144321,-22685121] |
[a1,a2,a3,a4,a6] |
Generators |
[975:-27648:1] |
Generators of the group modulo torsion |
j |
-1268163904241521/110574720000 |
j-invariant |
L |
9.503591405378 |
L(r)(E,1)/r! |
Ω |
0.12186550903104 |
Real period |
R |
1.392576051221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840i1 18960m1 |
Quadratic twists by: -4 8 |