Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4446h |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
390730968151056 = 24 · 38 · 134 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18351,109917] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:933:1] |
Generators of the group modulo torsion |
j |
937537615877617/535982123664 |
j-invariant |
L |
3.032568180385 |
L(r)(E,1)/r! |
Ω |
0.45751603032621 |
Real period |
R |
1.6570830197047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35568ch3 1482j3 111150dt3 57798bo3 |
Quadratic twists by: -4 -3 5 13 |