Atkin-Lehner |
2+ 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930n |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
197855838535680 = 216 · 36 · 5 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-775734,263169908] |
[a1,a2,a3,a4,a6] |
j |
70816584854952849249/271407185920 |
j-invariant |
L |
1.9847207070417 |
L(r)(E,1)/r! |
Ω |
0.4961801767627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3770d1 |
Quadratic twists by: -3 |