Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080cd |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
8 |
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 |
[15:-48:1] |
Generators of the group modulo torsion |
j |
-1775007362/82125 |
j-invariant |
L |
6.9718843066841 |
L(r)(E,1)/r! |
Ω |
1.2684188468361 |
Real period |
R |
0.68706448222682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080c1 17520c1 |
Quadratic twists by: -4 8 |