Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900z |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1320960 |
Modular degree for the optimal curve |
Δ |
1309273999031250000 = 24 · 38 · 59 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13380333,18834054588] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:149625:1] |
Generators of the group modulo torsion |
j |
8477630598115622912/41896767969 |
j-invariant |
L |
7.1332866796458 |
L(r)(E,1)/r! |
Ω |
0.24027884026308 |
Real period |
R |
0.30924516490211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700bt1 39900n1 |
Quadratic twists by: -3 5 |