Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dq |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
233029039745250000 = 24 · 313 · 56 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3708045,2746975518] |
[a1,a2,a3,a4,a6] |
Generators |
[-594:68850:1] |
Generators of the group modulo torsion |
j |
352402381449896711028736/14564314984078125 |
j-invariant |
L |
6.9953776272453 |
L(r)(E,1)/r! |
Ω |
0.29439221376009 |
Real period |
R |
0.30464232531474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140f1 114240ff1 85680dl1 |
Quadratic twists by: -4 8 -3 |