Atkin-Lehner |
2+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
78016c |
Isogeny class |
Conductor |
78016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-66157568 = -1 · 210 · 23 · 532 |
Discriminant |
Eigenvalues |
2+ -3 -4 0 2 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292,1960] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:53:1] [5:25:1] |
Generators of the group modulo torsion |
j |
-2688885504/64607 |
j-invariant |
L |
5.5685133494366 |
L(r)(E,1)/r! |
Ω |
1.9555402778395 |
Real period |
R |
1.4237787409025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78016r1 4876a1 |
Quadratic twists by: -4 8 |