Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960u |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1022423040000 = 215 · 33 · 54 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3123,46322] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-688:1] |
Generators of the group modulo torsion |
j |
30459021867/9245000 |
j-invariant |
L |
5.4696954240495 |
L(r)(E,1)/r! |
Ω |
0.81262402761553 |
Real period |
R |
0.84136317013954 |
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 |
3870b2 123840dz2 30960ba2 |
Quadratic twists by: -4 8 -3 |