Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2898o |
Isogeny class |
Conductor |
2898 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-10971406236672 = -1 · 210 · 310 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3001,-147009] |
[a1,a2,a3,a4,a6] |
j |
4101378352343/15049939968 |
j-invariant |
L |
3.6569585489033 |
L(r)(E,1)/r! |
Ω |
0.36569585489033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23184bu1 92736bq1 966a1 72450bn1 |
Quadratic twists by: -4 8 -3 5 |