Atkin-Lehner |
2+ 3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402k |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
901120 |
Modular degree for the optimal curve |
Δ |
-41489108527104 = -1 · 211 · 311 · 7 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -5 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-628173,-191474843] |
[a1,a2,a3,a4,a6] |
j |
-37604028211309424593/56912357376 |
j-invariant |
L |
0.67832787725741 |
L(r)(E,1)/r! |
Ω |
0.08479098311307 |
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 |
22134bc1 |
Quadratic twists by: -3 |