Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dw |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
65802240 = 212 · 33 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5360,149268] |
[a1,a2,a3,a4,a6] |
Generators |
[43:12:1] |
Generators of the group modulo torsion |
j |
4158523459441/16065 |
j-invariant |
L |
6.6825657829725 |
L(r)(E,1)/r! |
Ω |
1.7202492093167 |
Real period |
R |
1.2948832736522 |
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 |
1785h1 114240fn1 85680dp1 |
Quadratic twists by: -4 8 -3 |