Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760bm |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
904078506240 = 28 · 38 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14533167,-21324973966] |
[a1,a2,a3,a4,a6] |
Generators |
[-366011637514517335:-1161075617408:166293338364271] |
Generators of the group modulo torsion |
j |
1819018058610682173904/4844385 |
j-invariant |
L |
6.7906750234987 |
L(r)(E,1)/r! |
Ω |
0.077323141206327 |
Real period |
R |
21.95550684296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bb1 10920b1 |
Quadratic twists by: -4 -3 |