Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800ba |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-83750000 = -1 · 24 · 57 · 67 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 6 -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158,-937] |
[a1,a2,a3,a4,a6] |
Generators |
[154:475:8] |
Generators of the group modulo torsion |
j |
-1755904/335 |
j-invariant |
L |
7.1221325758725 |
L(r)(E,1)/r! |
Ω |
0.66606325211255 |
Real period |
R |
2.6732193051047 |
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 |
6700b1 107200bw1 5360i1 |
Quadratic twists by: -4 8 5 |