Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900u |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-31853466750000 = -1 · 24 · 3 · 56 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6167,-195412] |
[a1,a2,a3,a4,a6] |
Generators |
[9156:172900:27] |
Generators of the group modulo torsion |
j |
103737344000/127413867 |
j-invariant |
L |
7.2818135311115 |
L(r)(E,1)/r! |
Ω |
0.35270654379676 |
Real period |
R |
3.4409216666474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700bk1 1596b1 |
Quadratic twists by: -3 5 |