Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450cu |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-740459286000 = -1 · 24 · 33 · 53 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10565,-417363] |
[a1,a2,a3,a4,a6] |
Generators |
[129:530:1] |
Generators of the group modulo torsion |
j |
-38638468208943/219395344 |
j-invariant |
L |
11.070996679905 |
L(r)(E,1)/r! |
Ω |
0.23537371637069 |
Real period |
R |
2.9397389952942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450m1 72450s1 |
Quadratic twists by: -3 5 |