Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430be |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
73785600 = 28 · 33 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:14:1] |
Generators of the group modulo torsion |
j |
4973940243/2732800 |
j-invariant |
L |
9.5060206658052 |
L(r)(E,1)/r! |
Ω |
1.5882843254547 |
Real period |
R |
0.74813593774245 |
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 |
38430c1 |
Quadratic twists by: -3 |