Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830t |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-9891840 = -1 · 212 · 3 · 5 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,29,-127] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
2691419471/9891840 |
j-invariant |
L |
4.5000210235199 |
L(r)(E,1)/r! |
Ω |
1.1663902868339 |
Real period |
R |
1.2860249478857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640cn1 14490be1 24150bd1 33810dg1 |
Quadratic twists by: -4 -3 5 -7 |