Atkin-Lehner |
2- 3+ 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16302q |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
172480 |
Modular degree for the optimal curve |
Δ |
-58739262250825728 = -1 · 211 · 37 · 11 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 11- 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,48081,10951797] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:2738:1] |
Generators of the group modulo torsion |
j |
12292596393515113103/58739262250825728 |
j-invariant |
L |
5.7166616982086 |
L(r)(E,1)/r! |
Ω |
0.2524928719922 |
Real period |
R |
0.29403744799294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48906n1 |
Quadratic twists by: -3 |