Atkin-Lehner |
3+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9435c |
Isogeny class |
Conductor |
9435 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-500733140625 = -1 · 34 · 56 · 172 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -6 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1206,-38172] |
[a1,a2,a3,a4,a6] |
Generators |
[49:128:1] [54:213:1] |
Generators of the group modulo torsion |
j |
-193993930486369/500733140625 |
j-invariant |
L |
2.937567503825 |
L(r)(E,1)/r! |
Ω |
0.37681081573039 |
Real period |
R |
1.9489670818833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28305i2 47175l2 |
Quadratic twists by: -3 5 |