Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10950j |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
2628000000 = 28 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-476,3098] |
[a1,a2,a3,a4,a6] |
j |
761048497/168192 |
j-invariant |
L |
2.7182642845788 |
L(r)(E,1)/r! |
Ω |
1.3591321422894 |
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 |
87600bh1 32850bo1 438f1 |
Quadratic twists by: -4 -3 5 |