Atkin-Lehner |
3- 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10857a |
Isogeny class |
Conductor |
10857 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
-122890383 = -1 · 32 · 74 · 112 · 47 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11+ -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,69,-479] |
[a1,a2,a3,a4,a6] |
j |
37092620375/122890383 |
j-invariant |
L |
1.8982293990228 |
L(r)(E,1)/r! |
Ω |
0.94911469951141 |
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 |
32571d1 75999b1 119427f1 |
Quadratic twists by: -3 -7 -11 |