Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
96408r |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1999116288 = 211 · 36 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -3 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315,54] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:26:1] |
Generators of the group modulo torsion |
j |
2315250/1339 |
j-invariant |
L |
7.3198245093413 |
L(r)(E,1)/r! |
Ω |
1.2489615353317 |
Real period |
R |
2.9303642686271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10712a1 |
Quadratic twists by: -3 |