Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18050b |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5400 |
Modular degree for the optimal curve |
Δ |
-104256800 = -1 · 25 · 52 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -1 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,113,141] |
[a1,a2,a3,a4,a6] |
Generators |
[5:26:1] |
Generators of the group modulo torsion |
j |
48735/32 |
j-invariant |
L |
2.3838142786577 |
L(r)(E,1)/r! |
Ω |
1.1804634887839 |
Real period |
R |
0.67312946745276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18050w1 18050s1 |
Quadratic twists by: 5 -19 |