Atkin-Lehner |
3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
3339f |
Isogeny class |
Conductor |
3339 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-5844348531 = -1 · 38 · 75 · 53 |
Discriminant |
Eigenvalues |
0 3- 1 7- -1 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,438,1039] |
[a1,a2,a3,a4,a6] |
Generators |
[13:94:1] |
Generators of the group modulo torsion |
j |
12747309056/8016939 |
j-invariant |
L |
3.1267919186153 |
L(r)(E,1)/r! |
Ω |
0.83645578247407 |
Real period |
R |
0.18690718530075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53424v1 1113d1 83475s1 23373c1 |
Quadratic twists by: -4 -3 5 -7 |