Atkin-Lehner |
2+ 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792h |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
368294164955136 = 221 · 35 · 75 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 0 -7 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-937889,-349289439] |
[a1,a2,a3,a4,a6] |
Generators |
[-3665552820355:1228734124:6549699311] |
Generators of the group modulo torsion |
j |
348047549263412713/1404930744 |
j-invariant |
L |
5.6317530569979 |
L(r)(E,1)/r! |
Ω |
0.15341285800705 |
Real period |
R |
18.354892576015 |
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 |
57792dh1 1806d1 |
Quadratic twists by: -4 8 |