Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10296d |
Isogeny class |
Conductor |
10296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
37403303198976 = 28 · 310 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42519,-3361750] |
[a1,a2,a3,a4,a6] |
Generators |
[324797:1185840:1331] |
Generators of the group modulo torsion |
j |
45551779131472/200420649 |
j-invariant |
L |
5.1877562645987 |
L(r)(E,1)/r! |
Ω |
0.3325590451214 |
Real period |
R |
7.7997521653709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20592n2 82368bu2 3432g2 113256bn2 |
Quadratic twists by: -4 8 -3 -11 |