Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380o |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
1.4781568044375E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12354087,16610694334] |
[a1,a2,a3,a4,a6] |
Generators |
[-2902:167400:1] |
Generators of the group modulo torsion |
j |
1117347302108443814224/7920507568359375 |
j-invariant |
L |
7.1360382225929 |
L(r)(E,1)/r! |
Ω |
0.15196156607886 |
Real period |
R |
1.9566455756452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
20460i4 |
Quadratic twists by: -3 |