Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104j |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
5918406912 = 28 · 37 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471,1334] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:72:1] [-11:72:1] |
Generators of the group modulo torsion |
j |
61918288/31713 |
j-invariant |
L |
8.3083135193958 |
L(r)(E,1)/r! |
Ω |
1.187811999828 |
Real period |
R |
1.7486591987198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24552h1 16368d1 |
Quadratic twists by: -4 -3 |