Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830s |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
37984665600 = 220 · 32 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1096,-10807] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:69:1] |
Generators of the group modulo torsion |
j |
145606291302529/37984665600 |
j-invariant |
L |
4.664226110731 |
L(r)(E,1)/r! |
Ω |
0.84579809511531 |
Real period |
R |
0.27572928679244 |
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 |
38640cl1 14490z1 24150ba1 33810dd1 |
Quadratic twists by: -4 -3 5 -7 |