Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248p |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-39558316032 = -1 · 218 · 38 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,9776] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:108:1] |
Generators of the group modulo torsion |
j |
-15625/207 |
j-invariant |
L |
4.8198121972054 |
L(r)(E,1)/r! |
Ω |
0.97447687243731 |
Real period |
R |
1.2365127212179 |
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 |
13248bb1 207a1 4416c1 |
Quadratic twists by: -4 8 -3 |