Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400cm |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-337199314500000000 = -1 · 28 · 315 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,150092,-16672312] |
[a1,a2,a3,a4,a6] |
Generators |
[323:8100:1] |
Generators of the group modulo torsion |
j |
93483176565296/84299828625 |
j-invariant |
L |
7.7856497997905 |
L(r)(E,1)/r! |
Ω |
0.16684948001195 |
Real period |
R |
1.5554238465158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14100b1 11280l1 |
Quadratic twists by: -4 5 |