Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120n |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
13469532595200 = 210 · 33 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32307,-2228094] |
[a1,a2,a3,a4,a6] |
Generators |
[957:29040:1] |
Generators of the group modulo torsion |
j |
76136652/275 |
j-invariant |
L |
8.9790624618805 |
L(r)(E,1)/r! |
Ω |
0.35618016525757 |
Real period |
R |
1.57558297302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560bo1 87120f1 7920b1 |
Quadratic twists by: -4 -3 -11 |