Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18050i |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
346788 |
Modular degree for the optimal curve |
Δ |
-1255642369597644800 = -1 · 213 · 52 · 1910 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 0 -6 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-719480,240704320] |
[a1,a2,a3,a4,a6] |
j |
-268722985/8192 |
j-invariant |
L |
0.27137842591617 |
L(r)(E,1)/r! |
Ω |
0.27137842591617 |
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 |
18050x1 18050m1 |
Quadratic twists by: 5 -19 |