Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935bi |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-30090981125349375 = -1 · 3 · 54 · 77 · 117 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20875,-8435008] |
[a1,a2,a3,a4,a6] |
j |
-4826809/144375 |
j-invariant |
L |
0.64657558654934 |
L(r)(E,1)/r! |
Ω |
0.16164393354832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12705k1 8085l1 |
Quadratic twists by: -7 -11 |