Atkin-Lehner |
3+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
4503c |
Isogeny class |
Conductor |
4503 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-1067211 = -1 · 32 · 19 · 792 |
Discriminant |
Eigenvalues |
0 3+ -3 1 -3 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-237,1487] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1:1] [27:118:1] |
Generators of the group modulo torsion |
j |
-1478427148288/1067211 |
j-invariant |
L |
3.1806445644502 |
L(r)(E,1)/r! |
Ω |
2.7376085011237 |
Real period |
R |
0.29045831088941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048y1 13509c1 112575i1 85557d1 |
Quadratic twists by: -4 -3 5 -19 |