Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ha |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
92050882560 = 216 · 32 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49985,4284735] |
[a1,a2,a3,a4,a6] |
Generators |
[133:84:1] |
Generators of the group modulo torsion |
j |
210751929444676/1404585 |
j-invariant |
L |
7.8672793688365 |
L(r)(E,1)/r! |
Ω |
0.95670389580202 |
Real period |
R |
2.0558292391914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998525 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360br4 21840a4 |
Quadratic twists by: -4 8 |