Atkin-Lehner |
2- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34112s |
Isogeny class |
Conductor |
34112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-240510920818688 = -1 · 228 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 3 -2 2 -2 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48556,4185296] |
[a1,a2,a3,a4,a6] |
Generators |
[-6738:23552:27] |
Generators of the group modulo torsion |
j |
-48296148523713/917476352 |
j-invariant |
L |
9.6238499403382 |
L(r)(E,1)/r! |
Ω |
0.55655265674328 |
Real period |
R |
4.3229736772135 |
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 |
34112i1 8528f1 |
Quadratic twists by: -4 8 |