Atkin-Lehner |
2+ 3+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
59568f |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
747456 |
Modular degree for the optimal curve |
Δ |
-218634552173083392 = -1 · 28 · 317 · 17 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -5 -4 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,140943,9508797] |
[a1,a2,a3,a4,a6] |
j |
1209514834768120832/854041219426107 |
j-invariant |
L |
0.19976453571141 |
L(r)(E,1)/r! |
Ω |
0.19976453904971 |
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 |
29784n1 |
Quadratic twists by: -4 |