Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780s |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
1657322639490000 = 24 · 3 · 54 · 79 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-218605,39364522] |
[a1,a2,a3,a4,a6] |
j |
1789384327168/2566875 |
j-invariant |
L |
1.8912159134316 |
L(r)(E,1)/r! |
Ω |
0.4728040856902 |
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 |
108780bb1 |
Quadratic twists by: -7 |