Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840bz |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-841199761920 = -1 · 29 · 3 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2240,-16072] |
[a1,a2,a3,a4,a6] |
Generators |
[43:402:1] |
Generators of the group modulo torsion |
j |
2426631943672/1642968285 |
j-invariant |
L |
8.7413897719824 |
L(r)(E,1)/r! |
Ω |
0.50546333922278 |
Real period |
R |
4.3234538957505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994225 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840k2 127680n3 |
Quadratic twists by: -4 8 |