Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360d |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-660441600000000 = -1 · 215 · 34 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19679,-638879] |
[a1,a2,a3,a4,a6] |
Generators |
[40:459:1] |
Generators of the group modulo torsion |
j |
25719397179832/20155078125 |
j-invariant |
L |
4.4954579751595 |
L(r)(E,1)/r! |
Ω |
0.28450665943948 |
Real period |
R |
3.9502221017699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cj3 43680w2 |
Quadratic twists by: -4 8 |