Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360l |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
391283343360 = 217 · 38 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77761,-8320319] |
[a1,a2,a3,a4,a6] |
Generators |
[323:396:1] [568:11421:1] |
Generators of the group modulo torsion |
j |
396738988420322/2985255 |
j-invariant |
L |
9.296762195564 |
L(r)(E,1)/r! |
Ω |
0.28589649172155 |
Real period |
R |
16.258965158123 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ft4 10920u3 |
Quadratic twists by: -4 8 |