Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360eo |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.4861133923342E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-589953281,5512445776545] |
[a1,a2,a3,a4,a6] |
Generators |
[130229:46230912:1] |
Generators of the group modulo torsion |
j |
86623684689189325642735681/56690726941459561860 |
j-invariant |
L |
5.3053030882064 |
L(r)(E,1)/r! |
Ω |
0.069424283554044 |
Real period |
R |
2.3880796908347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bx8 21840cl8 |
Quadratic twists by: -4 8 |