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 |
1.1274598393503E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2728125,1727522941] |
[a1,a2,a3,a4,a6] |
Generators |
[1311:19417:1] |
Generators of the group modulo torsion |
j |
3080272010107543650001/15465841417699560 |
j-invariant |
L |
2.3226521327537 |
L(r)(E,1)/r! |
Ω |
0.22812807182718 |
Real period |
R |
5.0906758518374 |
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 |
26640be6 106560cl6 1110k5 16650bu5 |
Quadratic twists by: -4 8 -3 5 |