Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115z |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1076781598340765625 = 38 · 56 · 72 · 118 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270639,21143920] |
[a1,a2,a3,a4,a6] |
j |
1697509118089/833765625 |
j-invariant |
L |
2.940469292129 |
L(r)(E,1)/r! |
Ω |
0.24503910767938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12705b2 3465t2 |
Quadratic twists by: -3 -11 |