Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766bc |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
61600 |
Modular degree for the optimal curve |
Δ |
-446263302144 = -1 · 211 · 3 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 11- -1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5024,138689] |
[a1,a2,a3,a4,a6] |
Generators |
[17:233:1] |
Generators of the group modulo torsion |
j |
-7916293657/251904 |
j-invariant |
L |
9.5974177205581 |
L(r)(E,1)/r! |
Ω |
0.9349371587544 |
Real period |
R |
0.46660490059735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298bh1 246g1 |
Quadratic twists by: -3 -11 |