Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1850i |
Isogeny class |
Conductor |
1850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9000 |
Modular degree for the optimal curve |
Δ |
-506530000000000 = -1 · 210 · 510 · 373 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11888,1187281] |
[a1,a2,a3,a4,a6] |
j |
-19026212425/51868672 |
j-invariant |
L |
4.6100829490101 |
L(r)(E,1)/r! |
Ω |
0.46100829490101 |
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 |
14800s1 59200bi1 16650o1 1850g1 |
Quadratic twists by: -4 8 -3 5 |