Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fx |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-86392113561600 = -1 · 215 · 3 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4705,465697] |
[a1,a2,a3,a4,a6] |
Generators |
[24:605:1] |
Generators of the group modulo torsion |
j |
-351596839112/2636478075 |
j-invariant |
L |
6.5368590619826 |
L(r)(E,1)/r! |
Ω |
0.51994633035938 |
Real period |
R |
1.5715225491973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002639 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920he3 36960r2 |
Quadratic twists by: -4 8 |