Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840bq |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-279236160000 = -1 · 29 · 38 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,744,24444] |
[a1,a2,a3,a4,a6] |
Generators |
[15:198:1] |
Generators of the group modulo torsion |
j |
88835939128/545383125 |
j-invariant |
L |
6.4900553705094 |
L(r)(E,1)/r! |
Ω |
0.70726477425767 |
Real period |
R |
2.2940685039151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840f2 127680bf3 |
Quadratic twists by: -4 8 |