Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3610b |
Isogeny class |
Conductor |
3610 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3610000000 = -1 · 27 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 5 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20,2896] |
[a1,a2,a3,a4,a6] |
j |
-2520369/10000000 |
j-invariant |
L |
1.1258895661987 |
L(r)(E,1)/r! |
Ω |
1.1258895661987 |
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 |
28880s2 115520w2 32490bw2 18050r2 |
Quadratic twists by: -4 8 -3 5 |