Atkin-Lehner |
2- 3+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84912n |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-439812912384 = -1 · 28 · 32 · 292 · 613 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 -5 -3 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20916,-1157796] |
[a1,a2,a3,a4,a6] |
j |
-3953123750011984/1718019189 |
j-invariant |
L |
0.79395684688151 |
L(r)(E,1)/r! |
Ω |
0.19848918519068 |
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 |
21228a1 |
Quadratic twists by: -4 |