Atkin-Lehner |
2- 73- |
Signs for the Atkin-Lehner involutions |
Class |
4672c |
Isogeny class |
Conductor |
4672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
299008 = 212 · 73 |
Discriminant |
Eigenvalues |
2- 0 0 -4 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,-384] |
[a1,a2,a3,a4,a6] |
Generators |
[12:12:1] |
Generators of the group modulo torsion |
j |
27000000/73 |
j-invariant |
L |
3.2983827343556 |
L(r)(E,1)/r! |
Ω |
1.5099762893983 |
Real period |
R |
2.1843937269174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4672b1 2336b1 42048cb1 116800bp1 |
Quadratic twists by: -4 8 -3 5 |