Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360en |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-207114485760000 = -1 · 217 · 34 · 54 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12481,880225] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:1008:1] |
Generators of the group modulo torsion |
j |
-1640577425762/1580158125 |
j-invariant |
L |
4.5579821968711 |
L(r)(E,1)/r! |
Ω |
0.51337667521589 |
Real period |
R |
0.55490228033804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bv3 21840v3 |
Quadratic twists by: -4 8 |