Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360bu |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4122872732160000 = 212 · 34 · 54 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149065,21985225] |
[a1,a2,a3,a4,a6] |
Generators |
[-435:2080:1] [-263:6552:1] |
Generators of the group modulo torsion |
j |
89432162215385536/1006560725625 |
j-invariant |
L |
10.254638339853 |
L(r)(E,1)/r! |
Ω |
0.44060770317603 |
Real period |
R |
0.96974382068524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998268 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360dd2 43680q1 |
Quadratic twists by: -4 8 |