Atkin-Lehner |
3+ 7- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16401b |
Isogeny class |
Conductor |
16401 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-3907243510958403 = -1 · 310 · 75 · 11 · 713 |
Discriminant |
Eigenvalues |
2 3+ -2 7- 11+ 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-66164,-7185961] |
[a1,a2,a3,a4,a6] |
j |
-32032846671581827072/3907243510958403 |
j-invariant |
L |
1.4782758923569 |
L(r)(E,1)/r! |
Ω |
0.14782758923569 |
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 |
49203g1 114807s1 |
Quadratic twists by: -3 -7 |