Atkin-Lehner |
3+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
4503b |
Isogeny class |
Conductor |
4503 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-194758623467091 = -1 · 36 · 193 · 794 |
Discriminant |
Eigenvalues |
2 3+ -3 -1 1 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33422,-2434645] |
[a1,a2,a3,a4,a6] |
Generators |
[14986:645215:8] |
Generators of the group modulo torsion |
j |
-4128896637887131648/194758623467091 |
j-invariant |
L |
5.1613191039653 |
L(r)(E,1)/r! |
Ω |
0.17606230031538 |
Real period |
R |
7.3288249311747 |
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 |
72048z1 13509b1 112575h1 85557f1 |
Quadratic twists by: -4 -3 5 -19 |