Atkin-Lehner |
2+ 3+ 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42456c |
Isogeny class |
Conductor |
42456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18752 |
Modular degree for the optimal curve |
Δ |
-5179632 = -1 · 24 · 3 · 29 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 4 5 -3 1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-107] |
[a1,a2,a3,a4,a6] |
j |
-30118144/323727 |
j-invariant |
L |
4.1163348537508 |
L(r)(E,1)/r! |
Ω |
1.0290837134051 |
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 |
84912j1 127368g1 |
Quadratic twists by: -4 -3 |