Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900w |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1447891200 = -1 · 28 · 35 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,132,-1692] |
[a1,a2,a3,a4,a6] |
Generators |
[12:42:1] |
Generators of the group modulo torsion |
j |
39443120/226233 |
j-invariant |
L |
7.1444520361674 |
L(r)(E,1)/r! |
Ω |
0.75861433367837 |
Real period |
R |
0.31392552267081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119700bo1 39900l1 |
Quadratic twists by: -3 5 |