Atkin-Lehner |
3- 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825n |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
251321572265625 = 32 · 510 · 192 · 892 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1056876,-418287227] |
[a1,a2,a3,a4,a6] |
Generators |
[19123324972312906763:1070180337289147089514:5430337794281609] |
Generators of the group modulo torsion |
j |
8355553090052007601/16084580625 |
j-invariant |
L |
9.1921274791658 |
L(r)(E,1)/r! |
Ω |
0.14889963909299 |
Real period |
R |
30.86685585313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093812 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25365f2 |
Quadratic twists by: 5 |