Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4060c |
Isogeny class |
Conductor |
4060 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
1364728400 = 24 · 52 · 76 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-581,4900] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:91:1] |
Generators of the group modulo torsion |
j |
1357936328704/85295525 |
j-invariant |
L |
2.2939579976278 |
L(r)(E,1)/r! |
Ω |
1.4955254320755 |
Real period |
R |
1.5338809681386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
16240j1 64960x1 36540r1 20300d1 |
Quadratic twists by: -4 8 -3 5 |