Atkin-Lehner |
3- 13+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467l |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40192 |
Modular degree for the optimal curve |
Δ |
-297644139 = -1 · 37 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
-2 3- 3 -2 -6 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,159,-306] |
[a1,a2,a3,a4,a6] |
Generators |
[17:85:1] |
Generators of the group modulo torsion |
j |
609800192/408291 |
j-invariant |
L |
2.893701874927 |
L(r)(E,1)/r! |
Ω |
0.98191828759968 |
Real period |
R |
0.36837355907818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21489d1 |
Quadratic twists by: -3 |