Atkin-Lehner |
2- 3+ 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39990u |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-15621093750000 = -1 · 24 · 3 · 512 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20750,1157435] |
[a1,a2,a3,a4,a6] |
Generators |
[89:115:1] |
Generators of the group modulo torsion |
j |
-988050912050988001/15621093750000 |
j-invariant |
L |
7.3563145701911 |
L(r)(E,1)/r! |
Ω |
0.69995150921825 |
Real period |
R |
3.5032496172042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119970m1 |
Quadratic twists by: -3 |