Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ej |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
51673440000000000 = 214 · 3 · 510 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111441,-9205359] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:2184:1] |
Generators of the group modulo torsion |
j |
9342060412991056/3153896484375 |
j-invariant |
L |
5.605517417742 |
L(r)(E,1)/r! |
Ω |
0.26842758972001 |
Real period |
R |
1.7402326362567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cr2 21840cd2 |
Quadratic twists by: -4 8 |