Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550cb |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-1259515170000000000 = -1 · 210 · 313 · 510 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-507380,-149091753] |
[a1,a2,a3,a4,a6] |
j |
-1268163904241521/110574720000 |
j-invariant |
L |
7.1198387496861 |
L(r)(E,1)/r! |
Ω |
0.088997984370865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850g1 7110j1 |
Quadratic twists by: -3 5 |