Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4620k |
Isogeny class |
Conductor |
4620 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-8049888000 = -1 · 28 · 33 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,259,4095] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:6:1] |
Generators of the group modulo torsion |
j |
7476617216/31444875 |
j-invariant |
L |
4.3468468756572 |
L(r)(E,1)/r! |
Ω |
0.93780399811584 |
Real period |
R |
1.5450445524475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18480bk1 73920bo1 13860v1 23100d1 |
Quadratic twists by: -4 8 -3 5 |