Atkin-Lehner |
2- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24752s |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
372096 |
Modular degree for the optimal curve |
Δ |
-2386139411382272 = -1 · 229 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2- -3 2 7+ 3 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-398779,96955882] |
[a1,a2,a3,a4,a6] |
Generators |
[301:2048:1] |
Generators of the group modulo torsion |
j |
-1712224094099844753/582553567232 |
j-invariant |
L |
3.6255824855516 |
L(r)(E,1)/r! |
Ω |
0.45033522846429 |
Real period |
R |
1.0063565585118 |
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 |
3094g1 99008ck1 |
Quadratic twists by: -4 8 |