Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9633p |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-107564912442819 = -1 · 32 · 136 · 195 |
Discriminant |
Eigenvalues |
2 3- -1 -3 3 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-741966,-246241771] |
[a1,a2,a3,a4,a6] |
Generators |
[7962:11657:8] |
Generators of the group modulo torsion |
j |
-9358714467168256/22284891 |
j-invariant |
L |
9.0777374365625 |
L(r)(E,1)/r! |
Ω |
0.081334246394969 |
Real period |
R |
5.580513645187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28899r2 57c2 |
Quadratic twists by: -3 13 |