Atkin-Lehner |
3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14805h |
Isogeny class |
Conductor |
14805 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-22674418239375 = -1 · 38 · 54 · 76 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2421,-225072] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2604:1] |
Generators of the group modulo torsion |
j |
2152185214031/31103454375 |
j-invariant |
L |
5.8081638327875 |
L(r)(E,1)/r! |
Ω |
0.33129275053785 |
Real period |
R |
2.1914771087498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4935d1 74025x1 103635p1 |
Quadratic twists by: -3 5 -7 |