Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cm |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1427697156614400 = 28 · 38 · 52 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-349887,79639166] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:10584:1] |
Generators of the group modulo torsion |
j |
25382806462819024/7650126225 |
j-invariant |
L |
7.9062910850717 |
L(r)(E,1)/r! |
Ω |
0.46909456650334 |
Real period |
R |
1.4045304244088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976299 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840cg2 28560k2 |
Quadratic twists by: -4 -3 |