Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ef |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
539295437291520 = 219 · 3 · 5 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21281,430785] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:1248:1] |
Generators of the group modulo torsion |
j |
4066120948681/2057248830 |
j-invariant |
L |
4.1355594724359 |
L(r)(E,1)/r! |
Ω |
0.45953363015687 |
Real period |
R |
1.1249338447796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cp3 21840cc3 |
Quadratic twists by: -4 8 |