Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300l |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-116644500000000 = -1 · 28 · 32 · 59 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,519912] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-750:1] |
Generators of the group modulo torsion |
j |
-78608/233289 |
j-invariant |
L |
5.7148846483654 |
L(r)(E,1)/r! |
Ω |
0.47441792417501 |
Real period |
R |
1.0038414720309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48300x2 |
Quadratic twists by: 5 |