Atkin-Lehner |
2- 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624v |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-48357126144 = -1 · 212 · 33 · 173 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -1 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,283,10515] |
[a1,a2,a3,a4,a6] |
Generators |
[70:615:1] |
Generators of the group modulo torsion |
j |
609800192/11805939 |
j-invariant |
L |
9.4483839616464 |
L(r)(E,1)/r! |
Ω |
0.84388995206143 |
Real period |
R |
3.7320758621207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4539a1 |
Quadratic twists by: -4 |