Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ew |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11063808000000 = 215 · 32 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11233,-425663] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:168:1] |
Generators of the group modulo torsion |
j |
306182024/21609 |
j-invariant |
L |
4.7891588418983 |
L(r)(E,1)/r! |
Ω |
0.46580011093143 |
Real period |
R |
0.64259844640247 |
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 |
33600fx4 16800u2 100800mt4 1344q3 |
Quadratic twists by: -4 8 -3 5 |