Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bh |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-7.7717703975858E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -1 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4310283,-3470363462] |
[a1,a2,a3,a4,a6] |
Generators |
[22254202408983:10402148586094592:101847563] |
Generators of the group modulo torsion |
j |
-2965880116461979081/26027501813760 |
j-invariant |
L |
7.2530308896833 |
L(r)(E,1)/r! |
Ω |
0.052361936494051 |
Real period |
R |
17.314654917574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090s1 24240bn1 |
Quadratic twists by: -4 -3 |