Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266m |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
2.2616493217397E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1550984,707765451] |
[a1,a2,a3,a4,a6] |
Generators |
[-307:34137:1] |
Generators of the group modulo torsion |
j |
566001880654007645497/31023996182986752 |
j-invariant |
L |
8.0348763120879 |
L(r)(E,1)/r! |
Ω |
0.21106310145065 |
Real period |
R |
2.3792873602917 |
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 |
106128bx1 4422c1 |
Quadratic twists by: -4 -3 |