Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960h |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-2783575340000000000 = -1 · 211 · 510 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-648907,216618906] |
[a1,a2,a3,a4,a6] |
Generators |
[287:7350:1] |
Generators of the group modulo torsion |
j |
-125415986034978/11552734375 |
j-invariant |
L |
6.1008613982399 |
L(r)(E,1)/r! |
Ω |
0.24920304253958 |
Real period |
R |
1.2240744206097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480n2 7280e2 |
Quadratic twists by: -4 -7 |