Atkin-Lehner |
11- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
66671d |
Isogeny class |
Conductor |
66671 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
-1331764130236060939 = -1 · 116 · 197 · 292 |
Discriminant |
Eigenvalues |
-2 -2 -1 1 11- 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-287536,81173252] |
[a1,a2,a3,a4,a6] |
j |
-1484040633094144/751746132499 |
j-invariant |
L |
0.5051021318394 |
L(r)(E,1)/r! |
Ω |
0.25255105955197 |
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 |
551c1 |
Quadratic twists by: -11 |