Atkin-Lehner |
2- 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104940y |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
12342203280 = 24 · 37 · 5 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-993,10793] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:99:1] [-19:151:1] |
Generators of the group modulo torsion |
j |
9283760896/1058145 |
j-invariant |
L |
10.031132429795 |
L(r)(E,1)/r! |
Ω |
1.22559203813 |
Real period |
R |
0.2273534412992 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34980j1 |
Quadratic twists by: -3 |