Atkin-Lehner |
3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
3021a |
Isogeny class |
Conductor |
3021 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-1129784517 = -1 · 310 · 192 · 53 |
Discriminant |
Eigenvalues |
1 3- 4 0 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,186,-1271] |
[a1,a2,a3,a4,a6] |
j |
717157709351/1129784517 |
j-invariant |
L |
4.0802281321664 |
L(r)(E,1)/r! |
Ω |
0.81604562643328 |
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 |
48336bd2 9063c2 75525b2 57399c2 |
Quadratic twists by: -4 -3 5 -19 |