Atkin-Lehner |
2+ 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350bl |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
14070000 = 24 · 3 · 54 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-101,-352] |
[a1,a2,a3,a4,a6] |
j |
179726425/22512 |
j-invariant |
L |
3.0403546199835 |
L(r)(E,1)/r! |
Ω |
1.5201773114389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350cf1 |
Quadratic twists by: 5 |