Atkin-Lehner |
3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47481b |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-16822510980851331 = -1 · 312 · 78 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 1 7+ 3 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-463100,-121653232] |
[a1,a2,a3,a4,a6] |
Generators |
[1126881:62525506:343] |
Generators of the group modulo torsion |
j |
-1905301869561601/2918142531 |
j-invariant |
L |
3.2230375867323 |
L(r)(E,1)/r! |
Ω |
0.091497870777941 |
Real period |
R |
8.8063185496103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47481t1 |
Quadratic twists by: -7 |