Atkin-Lehner |
3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47481a |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
397843299 = 33 · 74 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 1 7+ 0 -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-785,8084] |
[a1,a2,a3,a4,a6] |
Generators |
[14:2:1] |
Generators of the group modulo torsion |
j |
22283073841/165699 |
j-invariant |
L |
3.1481365520048 |
L(r)(E,1)/r! |
Ω |
1.6951525552542 |
Real period |
R |
0.92857027594744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47481s1 |
Quadratic twists by: -7 |