Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3330f |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1862509386240000 = 212 · 312 · 54 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-191925,-32248139] |
[a1,a2,a3,a4,a6] |
Generators |
[12413:1375856:1] |
Generators of the group modulo torsion |
j |
1072487167529950801/2554882560000 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
26640be2 106560cl2 1110k2 16650bu2 |
Quadratic twists by: -4 8 -3 5 |