Atkin-Lehner |
2- 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120bd |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
307577813760000 = 211 · 36 · 54 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129387,17893766] |
[a1,a2,a3,a4,a6] |
j |
160449423671378/206014375 |
j-invariant |
L |
2.1739376205531 |
L(r)(E,1)/r! |
Ω |
0.54348441651194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680c2 |
Quadratic twists by: -3 |