Atkin-Lehner |
2+ 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330q |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
166320 |
Modular degree for the optimal curve |
Δ |
-3912049578250 = -1 · 2 · 53 · 118 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3633,126806] |
[a1,a2,a3,a4,a6] |
j |
-24729001/18250 |
j-invariant |
L |
0.72100582023497 |
L(r)(E,1)/r! |
Ω |
0.72100580523121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88330bg1 |
Quadratic twists by: -11 |