Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640cn |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-349385523200 = -1 · 224 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,880,26900] |
[a1,a2,a3,a4,a6] |
Generators |
[20:230:1] |
Generators of the group modulo torsion |
j |
375078431/1740800 |
j-invariant |
L |
6.9466775322569 |
L(r)(E,1)/r! |
Ω |
0.68747329546341 |
Real period |
R |
2.5261626805842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330z1 66640w1 |
Quadratic twists by: -4 -7 |