Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900n |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
264192 |
Modular degree for the optimal curve |
Δ |
83793535938000 = 24 · 38 · 53 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-535213,150886522] |
[a1,a2,a3,a4,a6] |
Generators |
[3338:1539:8] |
Generators of the group modulo torsion |
j |
8477630598115622912/41896767969 |
j-invariant |
L |
4.8013683429565 |
L(r)(E,1)/r! |
Ω |
0.53727982038307 |
Real period |
R |
1.1170548755056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700cf1 39900z1 |
Quadratic twists by: -3 5 |