Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3330g |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2954082960 = 24 · 36 · 5 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47475,3993381] |
[a1,a2,a3,a4,a6] |
Generators |
[47950:69287:343] |
Generators of the group modulo torsion |
j |
16232905099479601/4052240 |
j-invariant |
L |
2.5896385841142 |
L(r)(E,1)/r! |
Ω |
1.1381830565221 |
Real period |
R |
6.8257172761665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
26640bg3 106560cp3 370d3 16650bz3 |
Quadratic twists by: -4 8 -3 5 |