Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2850m |
Isogeny class |
Conductor |
2850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
67687500000 = 25 · 3 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-63951,6219298] |
[a1,a2,a3,a4,a6] |
Generators |
[148:-31:1] |
Generators of the group modulo torsion |
j |
14809006736693/34656 |
j-invariant |
L |
2.8646441396435 |
L(r)(E,1)/r! |
Ω |
0.94956082129385 |
Real period |
R |
3.0168095348966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22800co2 91200bz2 8550bj2 2850u2 |
Quadratic twists by: -4 8 -3 5 |