Atkin-Lehner |
2- 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650u |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
8663040 |
Modular degree for the optimal curve |
Δ |
1.4253601612726E+23 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14263188,-9997905008] |
[a1,a2,a3,a4,a6] |
j |
20537780490601041431161/9122305032144588800 |
j-invariant |
L |
0.97142784943218 |
L(r)(E,1)/r! |
Ω |
0.080952317566426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15130i1 |
Quadratic twists by: 5 |