Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640ca |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.1738804529562E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11543456,-15059769600] |
[a1,a2,a3,a4,a6] |
Generators |
[334958329482:-24874912818314:45499293] |
Generators of the group modulo torsion |
j |
882774443450089/2166000000 |
j-invariant |
L |
5.1725762340783 |
L(r)(E,1)/r! |
Ω |
0.081918053440434 |
Real period |
R |
15.785825025363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830bd2 4560w2 |
Quadratic twists by: -4 -19 |