Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10296d |
Isogeny class |
Conductor |
10296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18722111526024192 = -1 · 210 · 38 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21459,-6693442] |
[a1,a2,a3,a4,a6] |
Generators |
[131063303262:-19166141599660:6128487] |
Generators of the group modulo torsion |
j |
-1463944682308/25079989077 |
j-invariant |
L |
5.1877562645987 |
L(r)(E,1)/r! |
Ω |
0.1662795225607 |
Real period |
R |
15.599504330742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592n4 82368bu3 3432g4 113256bn3 |
Quadratic twists by: -4 8 -3 -11 |