Atkin-Lehner |
2+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12896c |
Isogeny class |
Conductor |
12896 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-47145299968 = -1 · 212 · 135 · 31 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 3 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12253,-518091] |
[a1,a2,a3,a4,a6] |
Generators |
[255:3588:1] |
Generators of the group modulo torsion |
j |
-49673699776000/11510083 |
j-invariant |
L |
6.0627166643356 |
L(r)(E,1)/r! |
Ω |
0.22688195720682 |
Real period |
R |
2.6721898642689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12896e1 25792l1 116064q1 |
Quadratic twists by: -4 8 -3 |