Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9633r |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-10807561323 = -1 · 311 · 132 · 192 |
Discriminant |
Eigenvalues |
-2 3- -4 1 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-940,11860] |
[a1,a2,a3,a4,a6] |
Generators |
[5:85:1] |
Generators of the group modulo torsion |
j |
-544104730624/63950067 |
j-invariant |
L |
2.224088926333 |
L(r)(E,1)/r! |
Ω |
1.2445979197046 |
Real period |
R |
0.081226996764503 |
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 |
28899p1 9633h1 |
Quadratic twists by: -3 13 |