Atkin-Lehner |
2+ 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818g |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
574560 |
Modular degree for the optimal curve |
Δ |
-292167249947666622 = -1 · 2 · 39 · 199 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-170761,-37617118] |
[a1,a2,a3,a4,a6] |
j |
-1706489875/905418 |
j-invariant |
L |
2.0624077296952 |
L(r)(E,1)/r! |
Ω |
0.11457820716381 |
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 |
49818t1 |
Quadratic twists by: -19 |