Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080bm |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-80732160000000 = -1 · 219 · 33 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9439,246465] |
[a1,a2,a3,a4,a6] |
Generators |
[811:23252:1] |
Generators of the group modulo torsion |
j |
354744554039/307968750 |
j-invariant |
L |
4.8047142147234 |
L(r)(E,1)/r! |
Ω |
0.39591132498812 |
Real period |
R |
6.0679171208865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080v1 17520y1 |
Quadratic twists by: -4 8 |