Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
3720c |
Isogeny class |
Conductor |
3720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1106844840253440 = 211 · 320 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26296,354224] |
[a1,a2,a3,a4,a6] |
Generators |
[155:162:1] |
Generators of the group modulo torsion |
j |
981927331418738/540451582155 |
j-invariant |
L |
3.9369032322602 |
L(r)(E,1)/r! |
Ω |
0.42547599760032 |
Real period |
R |
1.8505876968216 |
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 |
7440a4 29760q3 11160p4 18600q3 |
Quadratic twists by: -4 8 -3 5 |