Atkin-Lehner |
2- 3+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306m |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-40621792770981888 = -1 · 216 · 3 · 172 · 595 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18604,9738317] |
[a1,a2,a3,a4,a6] |
j |
-2464031870942113/140559836577792 |
j-invariant |
L |
4.80153573058 |
L(r)(E,1)/r! |
Ω |
0.30009599043493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102306x1 |
Quadratic twists by: 17 |