Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
66780c |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
154810731600 = 24 · 39 · 52 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-177012,28665009] |
[a1,a2,a3,a4,a6] |
Generators |
[223:530:1] |
Generators of the group modulo torsion |
j |
1947693272481792/491575 |
j-invariant |
L |
6.4845088515973 |
L(r)(E,1)/r! |
Ω |
0.81867648069429 |
Real period |
R |
1.320120341488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66780a1 |
Quadratic twists by: -3 |