Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3330f |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18206775000000 = 26 · 39 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3069045,-2068673675] |
[a1,a2,a3,a4,a6] |
Generators |
[4274235:469986320:343] |
Generators of the group modulo torsion |
j |
4385367890843575421521/24975000000 |
j-invariant |
L |
2.3226521327537 |
L(r)(E,1)/r! |
Ω |
0.11406403591359 |
Real period |
R |
10.181351703675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26640be4 106560cl4 1110k4 16650bu3 |
Quadratic twists by: -4 8 -3 5 |