Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488r |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3220043500267776 = 28 · 316 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14024919,-20216159350] |
[a1,a2,a3,a4,a6] |
Generators |
[886555:60863816:125] |
Generators of the group modulo torsion |
j |
1634772425273587285072/17254176849 |
j-invariant |
L |
7.276307777385 |
L(r)(E,1)/r! |
Ω |
0.078014344635854 |
Real period |
R |
11.65860557596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999947081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496u2 |
Quadratic twists by: -3 |