Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360dv |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
149822400 = 26 · 3 · 52 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1316,-17934] |
[a1,a2,a3,a4,a6] |
Generators |
[43:56:1] [175:2254:1] |
Generators of the group modulo torsion |
j |
3941317078336/2340975 |
j-invariant |
L |
8.7468296842224 |
L(r)(E,1)/r! |
Ω |
0.79263558867554 |
Real period |
R |
11.035121068887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ga1 43680ce4 |
Quadratic twists by: -4 8 |