Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824w |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27095040 |
Modular degree for the optimal curve |
Δ |
-3063746014097965056 = -1 · 218 · 39 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 2 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3817114227,-90771779224782] |
[a1,a2,a3,a4,a6] |
j |
-76291813922458084261302627/38001568192 |
j-invariant |
L |
1.9207271278049 |
L(r)(E,1)/r! |
Ω |
0.0096036377465984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12978b1 103824x1 |
Quadratic twists by: -4 -3 |