Atkin-Lehner |
2- 11+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85514m |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-145730873626624 = -1 · 212 · 113 · 133 · 233 |
Discriminant |
Eigenvalues |
2- 2 3 3 11+ 13- -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11099,730153] |
[a1,a2,a3,a4,a6] |
Generators |
[83:582:1] |
Generators of the group modulo torsion |
j |
-68825227396141/66331758592 |
j-invariant |
L |
19.897455123558 |
L(r)(E,1)/r! |
Ω |
0.52862626419587 |
Real period |
R |
1.5683303802949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85514i1 |
Quadratic twists by: 13 |