Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944a |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
10699470656 = 26 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 0 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-852698,303068626] |
[a1,a2,a3,a4,a6] |
Generators |
[441:3577:1] |
Generators of the group modulo torsion |
j |
185842547928576/29 |
j-invariant |
L |
5.5965854725602 |
L(r)(E,1)/r! |
Ω |
0.73735291102676 |
Real period |
R |
2.530034755794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944b1 45472w1 90944m1 |
Quadratic twists by: -4 8 -7 |