Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640o |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-24253655040 = -1 · 211 · 38 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-880,12832] |
[a1,a2,a3,a4,a6] |
Generators |
[52:324:1] |
Generators of the group modulo torsion |
j |
-102053522/32805 |
j-invariant |
L |
5.889435527365 |
L(r)(E,1)/r! |
Ω |
1.1314552152515 |
Real period |
R |
0.65064832560977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320bi1 86640y1 |
Quadratic twists by: -4 -19 |