Atkin-Lehner |
2- 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120bv |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
11015403840000000 = 212 · 35 · 57 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 -3 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-274965,-55174563] |
[a1,a2,a3,a4,a6] |
Generators |
[-316:245:1] |
Generators of the group modulo torsion |
j |
561303296768475136/2689307578125 |
j-invariant |
L |
5.3081665644259 |
L(r)(E,1)/r! |
Ω |
0.20854764808301 |
Real period |
R |
1.8180725553096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999775229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6195j1 |
Quadratic twists by: -4 |