Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8330z |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-85299200 = -1 · 212 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,55,-393] |
[a1,a2,a3,a4,a6] |
Generators |
[7:16:1] |
Generators of the group modulo torsion |
j |
375078431/1740800 |
j-invariant |
L |
5.5653311050616 |
L(r)(E,1)/r! |
Ω |
0.96692089472328 |
Real period |
R |
0.23982188957722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640cn1 74970u1 41650h1 8330n1 |
Quadratic twists by: -4 -3 5 -7 |