Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10296n |
Isogeny class |
Conductor |
10296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-56166334578072576 = -1 · 210 · 39 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23469,11318110] |
[a1,a2,a3,a4,a6] |
j |
1915049403068/75239967231 |
j-invariant |
L |
2.1367287544544 |
L(r)(E,1)/r! |
Ω |
0.2670910943068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592o4 82368bs3 3432e4 113256r3 |
Quadratic twists by: -4 8 -3 -11 |