Atkin-Lehner |
2- 3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380m |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4370917889768400 = 24 · 39 · 52 · 176 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-221292,-39941451] |
[a1,a2,a3,a4,a6] |
j |
3805481181560832/13879102175 |
j-invariant |
L |
3.9630165563317 |
L(r)(E,1)/r! |
Ω |
0.22016758677188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70380e1 |
Quadratic twists by: -3 |