Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
87204j |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-769395963084812544 = -1 · 28 · 3 · 1312 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7492,42205240] |
[a1,a2,a3,a4,a6] |
Generators |
[17562:823655:8] |
Generators of the group modulo torsion |
j |
-37642192/622658361 |
j-invariant |
L |
8.328323299224 |
L(r)(E,1)/r! |
Ω |
0.22687130546435 |
Real period |
R |
9.1773652047518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000001553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708e2 |
Quadratic twists by: 13 |