Atkin-Lehner |
2- 3+ 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850bp |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-350257711148437500 = -1 · 22 · 35 · 59 · 174 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-210563,46750781] |
[a1,a2,a3,a4,a6] |
j |
-66076950810920041/22416493513500 |
j-invariant |
L |
1.1437585108678 |
L(r)(E,1)/r! |
Ω |
0.2859394942474 |
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 |
23970k1 |
Quadratic twists by: 5 |