Atkin-Lehner |
7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41209f |
Isogeny class |
Conductor |
41209 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
99442104195999509 = 78 · 297 |
Discriminant |
Eigenvalues |
-1 2 -2 7- 4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6367649,-6187308254] |
[a1,a2,a3,a4,a6] |
j |
408023180713/1421 |
j-invariant |
L |
1.71071384873 |
L(r)(E,1)/r! |
Ω |
0.095039658269206 |
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 |
5887b2 1421d2 |
Quadratic twists by: -7 29 |