Atkin-Lehner |
2- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
100820c |
Isogeny class |
Conductor |
100820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1391040 |
Modular degree for the optimal curve |
Δ |
51660282499660880 = 24 · 5 · 718 |
Discriminant |
Eigenvalues |
2- 2 5- 4 4 4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-127705,13789002] |
[a1,a2,a3,a4,a6] |
j |
112377856/25205 |
j-invariant |
L |
9.0473751307456 |
L(r)(E,1)/r! |
Ω |
0.335087975416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1420a1 |
Quadratic twists by: -71 |