Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960t |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1534820618240 = 212 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52283,4601002] |
[a1,a2,a3,a4,a6] |
Generators |
[7:2058:1] |
Generators of the group modulo torsion |
j |
32798729601/3185 |
j-invariant |
L |
5.0661631245421 |
L(r)(E,1)/r! |
Ω |
0.81139820905138 |
Real period |
R |
1.5609361310071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3185a1 7280w1 |
Quadratic twists by: -4 -7 |