Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840r |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-562486602240000 = -1 · 212 · 310 · 54 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14412,-1321184] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3060:1] |
Generators of the group modulo torsion |
j |
-110868710464/188375625 |
j-invariant |
L |
7.4474738129361 |
L(r)(E,1)/r! |
Ω |
0.20593342850183 |
Real period |
R |
2.2602795308143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840bp2 29280v2 |
Quadratic twists by: -4 -3 |