Atkin-Lehner |
2+ 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240w |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-978490800 = -1 · 24 · 33 · 52 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,125,1448] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:30:1] |
Generators of the group modulo torsion |
j |
13392287744/61155675 |
j-invariant |
L |
8.9107546253313 |
L(r)(E,1)/r! |
Ω |
1.1213090866016 |
Real period |
R |
1.324457090892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120j1 |
Quadratic twists by: -4 |