Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800bm |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.953460393696E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1180700,-191284000] |
[a1,a2,a3,a4,a6] |
Generators |
[-946:8892:1] |
Generators of the group modulo torsion |
j |
2844215035101504/1398978186515 |
j-invariant |
L |
4.5415045305374 |
L(r)(E,1)/r! |
Ω |
0.15227923901142 |
Real period |
R |
3.7279413132888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000887 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72800q3 14560b3 |
Quadratic twists by: -4 5 |