Atkin-Lehner |
3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35301h |
Isogeny class |
Conductor |
35301 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3521352026042361 = 32 · 72 · 418 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70637,-6643920] |
[a1,a2,a3,a4,a6] |
j |
8205738913/741321 |
j-invariant |
L |
2.6508526733224 |
L(r)(E,1)/r! |
Ω |
0.29453918592635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
105903d2 861a2 |
Quadratic twists by: -3 41 |