Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bk |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
11160604901376 = 218 · 310 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5619,21170] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:180:1] |
Generators of the group modulo torsion |
j |
6570725617/3737664 |
j-invariant |
L |
8.0228241829266 |
L(r)(E,1)/r! |
Ω |
0.61692066397647 |
Real period |
R |
3.251157183453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12978n1 34608j1 |
Quadratic twists by: -4 -3 |