Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960f |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
383705154560 = 210 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,16640] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2058:1] |
Generators of the group modulo torsion |
j |
7086244/3185 |
j-invariant |
L |
8.7392739843615 |
L(r)(E,1)/r! |
Ω |
0.85392321510607 |
Real period |
R |
2.5585655214051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480m1 7280i1 |
Quadratic twists by: -4 -7 |