Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830bj |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
29485596672000 = 218 · 35 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8355,-135423] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:393:1] |
Generators of the group modulo torsion |
j |
64500981545311921/29485596672000 |
j-invariant |
L |
6.3850201092668 |
L(r)(E,1)/r! |
Ω |
0.52149761490212 |
Real period |
R |
0.090693502524849 |
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 |
38640bz1 14490h1 24150i1 33810cf1 |
Quadratic twists by: -4 -3 5 -7 |