Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cf |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
85999656960000 = 216 · 34 · 54 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13440,-396288] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:414:1] |
Generators of the group modulo torsion |
j |
65553197996161/20996010000 |
j-invariant |
L |
5.0373673777993 |
L(r)(E,1)/r! |
Ω |
0.45464054382044 |
Real period |
R |
1.384986294741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830bh2 115920dm2 |
Quadratic twists by: -4 -3 |