Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9633q |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
2634240 |
Modular degree for the optimal curve |
Δ |
-7.2764789435364E+24 |
Discriminant |
Eigenvalues |
-2 3- -1 1 -5 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,17148374,126878190742] |
[a1,a2,a3,a4,a6] |
Generators |
[7505:-823622:1] |
Generators of the group modulo torsion |
j |
115540013304585949184/1507513337183302371 |
j-invariant |
L |
2.4773959372818 |
L(r)(E,1)/r! |
Ω |
0.055068383539458 |
Real period |
R |
0.3213401979308 |
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 |
28899n1 741d1 |
Quadratic twists by: -3 13 |