Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648q |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.3159879006891E+22 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38374420,91903552304] |
[a1,a2,a3,a4,a6] |
Generators |
[30106:226347:8] |
Generators of the group modulo torsion |
j |
-518904725785387216/2753286252003 |
j-invariant |
L |
5.5326568298542 |
L(r)(E,1)/r! |
Ω |
0.11726534381984 |
Real period |
R |
3.931722031479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296w2 3192m2 |
Quadratic twists by: -4 -19 |