Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28272h |
Isogeny class |
Conductor |
28272 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-136681323264 = -1 · 28 · 34 · 193 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 -3 -6 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1101,22311] |
[a1,a2,a3,a4,a6] |
Generators |
[27:114:1] [-13:186:1] |
Generators of the group modulo torsion |
j |
-577085415424/533911419 |
j-invariant |
L |
8.0437549106835 |
L(r)(E,1)/r! |
Ω |
0.94636542727191 |
Real period |
R |
0.17707560153479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7068b1 113088s1 84816o1 |
Quadratic twists by: -4 8 -3 |