Atkin-Lehner |
2- 3- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
85608q |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-11191917877488 = -1 · 24 · 315 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -1 -1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3345,-142697] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1107:1] [233:3645:1] |
Generators of the group modulo torsion |
j |
354866144000/959526567 |
j-invariant |
L |
11.284022450515 |
L(r)(E,1)/r! |
Ω |
0.36942053128712 |
Real period |
R |
1.9090747358194 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28536h1 |
Quadratic twists by: -3 |