Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935bh |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-106160981410232595 = -1 · 33 · 5 · 79 · 117 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11- -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7905,-15675892] |
[a1,a2,a3,a4,a6] |
j |
-262144/509355 |
j-invariant |
L |
1.2122496519784 |
L(r)(E,1)/r! |
Ω |
0.15153119385813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12705i1 8085k1 |
Quadratic twists by: -7 -11 |