Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3864c |
Isogeny class |
Conductor |
3864 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-90139392 = -1 · 28 · 37 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 1 -6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,459] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:18:1] |
Generators of the group modulo torsion |
j |
128000/352107 |
j-invariant |
L |
4.1018214210239 |
L(r)(E,1)/r! |
Ω |
1.4983314328005 |
Real period |
R |
0.0977711733015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7728d1 30912c1 11592j1 96600bo1 |
Quadratic twists by: -4 8 -3 5 |