Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bf |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
840726835200 = 212 · 32 · 52 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8881,322081] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:684:1] |
Generators of the group modulo torsion |
j |
18914648497984/205255575 |
j-invariant |
L |
4.1150571403246 |
L(r)(E,1)/r! |
Ω |
0.89467928859503 |
Real period |
R |
1.1498693422629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999969 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840bs3 127680fu1 |
Quadratic twists by: -4 8 |