Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430bm |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1647309636000000 = 28 · 39 · 56 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99923,-11974669] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:466:1] |
Generators of the group modulo torsion |
j |
151352117885865961/2259684000000 |
j-invariant |
L |
8.3938231822024 |
L(r)(E,1)/r! |
Ω |
0.268767219511 |
Real period |
R |
0.65064227927058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810h1 |
Quadratic twists by: -3 |