Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ch |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1495826841600 = 214 · 32 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50961,4410639] |
[a1,a2,a3,a4,a6] |
Generators |
[75:1008:1] |
Generators of the group modulo torsion |
j |
893359210685776/91298025 |
j-invariant |
L |
8.3219193236228 |
L(r)(E,1)/r! |
Ω |
0.81402558096075 |
Real period |
R |
1.2778958546791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994269 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360ea2 10920n2 |
Quadratic twists by: -4 8 |