Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360er |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-70661663335710720 = -1 · 216 · 312 · 5 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24479,-12712319] |
[a1,a2,a3,a4,a6] |
Generators |
[213:1456:1] [395:7644:1] |
Generators of the group modulo torsion |
j |
24751815369116/1078211415645 |
j-invariant |
L |
9.3615357219342 |
L(r)(E,1)/r! |
Ω |
0.16613566083743 |
Real period |
R |
3.5217964623824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cb3 21840u3 |
Quadratic twists by: -4 8 |