Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760o |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
58140000000000 = 211 · 32 · 510 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10656,214956] |
[a1,a2,a3,a4,a6] |
Generators |
[58805:1244334:125] |
Generators of the group modulo torsion |
j |
65345720452418/28388671875 |
j-invariant |
L |
5.3263664735006 |
L(r)(E,1)/r! |
Ω |
0.56402722325438 |
Real period |
R |
9.4434563685958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520q2 116280bb2 |
Quadratic twists by: -4 -3 |