Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080c |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-10764288000 = -1 · 217 · 32 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1281,-17919] |
[a1,a2,a3,a4,a6] |
Generators |
[63:384:1] |
Generators of the group modulo torsion |
j |
-1775007362/82125 |
j-invariant |
L |
5.0652091047395 |
L(r)(E,1)/r! |
Ω |
0.39790760406112 |
Real period |
R |
3.1824028074206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080cd1 8760g1 |
Quadratic twists by: -4 8 |