Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126852d |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1964160 |
Modular degree for the optimal curve |
Δ |
-984863985010470576 = -1 · 24 · 38 · 11 · 318 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79443,-46989234] |
[a1,a2,a3,a4,a6] |
Generators |
[641:16337:1] |
Generators of the group modulo torsion |
j |
4063232/72171 |
j-invariant |
L |
4.2900500212754 |
L(r)(E,1)/r! |
Ω |
0.13547591235556 |
Real period |
R |
1.7592508495879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999321488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126852i1 |
Quadratic twists by: -31 |