Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800bi |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
236600000000 = 29 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,-39812] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:44:1] [63:250:1] |
Generators of the group modulo torsion |
j |
193100552/29575 |
j-invariant |
L |
7.1566960760292 |
L(r)(E,1)/r! |
Ω |
0.68852029106392 |
Real period |
R |
5.1971569820779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800m2 14560c2 |
Quadratic twists by: -4 5 |