Atkin-Lehner |
2- 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78064d |
Isogeny class |
Conductor |
78064 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
65148925410050048 = 215 · 72 · 176 · 412 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1136099,465930978] |
[a1,a2,a3,a4,a6] |
Generators |
[599:574:1] |
Generators of the group modulo torsion |
j |
39592442701299014073/15905499367688 |
j-invariant |
L |
7.360458914212 |
L(r)(E,1)/r! |
Ω |
0.34276451361981 |
Real period |
R |
1.7894838928333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758f2 |
Quadratic twists by: -4 |