Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270q |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.42112265625E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49047584,131381704046] |
[a1,a2,a3,a4,a6] |
Generators |
[5424:155173:1] |
Generators of the group modulo torsion |
j |
87649400407713844299677/632812500000000000 |
j-invariant |
L |
3.2278303823302 |
L(r)(E,1)/r! |
Ω |
0.10748790423817 |
Real period |
R |
7.507427014183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84270bj2 |
Quadratic twists by: 53 |