Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cn |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
11677016332800000 = 212 · 33 · 55 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-781641,-266196105] |
[a1,a2,a3,a4,a6] |
Generators |
[4971:344544:1] |
Generators of the group modulo torsion |
j |
12893959887933721024/2850834065625 |
j-invariant |
L |
6.5867856692728 |
L(r)(E,1)/r! |
Ω |
0.16056594423009 |
Real period |
R |
6.8370513877964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360f1 43680k1 |
Quadratic twists by: -4 8 |