Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960l |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2016033264000000 = -1 · 210 · 32 · 56 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47056,4499356] |
[a1,a2,a3,a4,a6] |
Generators |
[121:750:1] |
Generators of the group modulo torsion |
j |
-95651055364/16734375 |
j-invariant |
L |
3.8965544786005 |
L(r)(E,1)/r! |
Ω |
0.44810055076924 |
Real period |
R |
2.1739286322233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280v1 |
Quadratic twists by: -7 |