Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840dv |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
2250966564864000000 = 226 · 33 · 56 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-446028,-89079152] |
[a1,a2,a3,a4,a6] |
Generators |
[5724:430000:1] |
Generators of the group modulo torsion |
j |
1386456968640843/318028000000 |
j-invariant |
L |
6.9861827954848 |
L(r)(E,1)/r! |
Ω |
0.18778577004267 |
Real period |
R |
3.1002450157047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840f1 30960y1 123840eg3 |
Quadratic twists by: -4 8 -3 |