Atkin-Lehner |
2+ 3- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63954f |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6389760 |
Modular degree for the optimal curve |
Δ |
7.1657120148363E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14596098,-21070039276] |
[a1,a2,a3,a4,a6] |
Generators |
[-1969:6732:1] |
Generators of the group modulo torsion |
j |
471744138156633451637793/9829508936675360768 |
j-invariant |
L |
1.7735707982707 |
L(r)(E,1)/r! |
Ω |
0.077337587181662 |
Real period |
R |
2.8666054611129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7106d1 |
Quadratic twists by: -3 |