Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bu |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-8620204032339328 = -1 · 27 · 119 · 134 |
Discriminant |
Eigenvalues |
2- -2 0 -2 11- 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,40472,3186624] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:1348:1] |
Generators of the group modulo torsion |
j |
144896375/170368 |
j-invariant |
L |
5.3968180745576 |
L(r)(E,1)/r! |
Ω |
0.2755477868876 |
Real period |
R |
0.6994921092994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718j1 40898r1 |
Quadratic twists by: -11 13 |