Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ed |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1579080634390800 = 24 · 313 · 52 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -4 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92145,10594915] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:4617:1] |
Generators of the group modulo torsion |
j |
296723207944960/5415228513 |
j-invariant |
L |
5.6706928258255 |
L(r)(E,1)/r! |
Ω |
0.4757883502171 |
Real period |
R |
2.9796299254697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100v1 22800ct1 68400fx1 |
Quadratic twists by: -4 -3 5 |