Atkin-Lehner |
2- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115640o |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-319333370560736000 = -1 · 28 · 53 · 77 · 594 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -1 -3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116881,-31198075] |
[a1,a2,a3,a4,a6] |
Generators |
[4891:341138:1] |
Generators of the group modulo torsion |
j |
-5863149638656/10602690875 |
j-invariant |
L |
2.6057162943007 |
L(r)(E,1)/r! |
Ω |
0.12175939557433 |
Real period |
R |
1.337533463772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000140275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16520d1 |
Quadratic twists by: -7 |