Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120bp |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1241982720 = -1 · 28 · 36 · 5 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,1694] |
[a1,a2,a3,a4,a6] |
Generators |
[14:70:1] |
Generators of the group modulo torsion |
j |
16/5 |
j-invariant |
L |
7.6417145326679 |
L(r)(E,1)/r! |
Ω |
1.1892033603011 |
Real period |
R |
3.2129553210943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560cd1 9680c1 87120br1 |
Quadratic twists by: -4 -3 -11 |