Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
26832m |
Isogeny class |
Conductor |
26832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-134991792 = -1 · 24 · 33 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[62554:5531071:8] |
Generators of the group modulo torsion |
j |
-38545604608/8436987 |
j-invariant |
L |
5.863970964029 |
L(r)(E,1)/r! |
Ω |
0.64658572578238 |
Real period |
R |
9.0691314859038 |
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 |
6708f1 107328ci1 80496bk1 |
Quadratic twists by: -4 8 -3 |