Atkin-Lehner |
2- 3- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
72816m |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-1528553472 = -1 · 213 · 3 · 37 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 3 -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,288,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[2:24:1] |
Generators of the group modulo torsion |
j |
642735647/373182 |
j-invariant |
L |
9.498286621961 |
L(r)(E,1)/r! |
Ω |
0.89337470414743 |
Real period |
R |
1.3289897533221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9102e1 |
Quadratic twists by: -4 |