Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400k |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3045937500000000000 = 211 · 33 · 516 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1077075,-421972750] |
[a1,a2,a3,a4,a6] |
Generators |
[-665:450:1] [-590:2850:1] |
Generators of the group modulo torsion |
j |
159936580505574/3525390625 |
j-invariant |
L |
10.263988674615 |
L(r)(E,1)/r! |
Ω |
0.14839546504387 |
Real period |
R |
8.6458072283502 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200e2 68400l2 13680b2 |
Quadratic twists by: -4 -3 5 |