Atkin-Lehner |
2- 3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830cb |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
20194957454400 = 26 · 38 · 52 · 192 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26348,1638447] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:1773:1] [-7:1353:1] |
Generators of the group modulo torsion |
j |
2774748946640761/27702273600 |
j-invariant |
L |
16.06671229251 |
L(r)(E,1)/r! |
Ω |
0.68669049326986 |
Real period |
R |
1.9497760699603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984741 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41610e2 |
Quadratic twists by: -3 |