Atkin-Lehner |
2- 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818bc |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
3939840 |
Modular degree for the optimal curve |
Δ |
2.3720351670962E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21416513,37419575649] |
[a1,a2,a3,a4,a6] |
Generators |
[42196:8596573:1] |
Generators of the group modulo torsion |
j |
63964821056640625/1396665211752 |
j-invariant |
L |
12.531794763308 |
L(r)(E,1)/r! |
Ω |
0.11984583931766 |
Real period |
R |
6.9710637346996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999824 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
49818d1 |
Quadratic twists by: -19 |