Atkin-Lehner |
2- 3- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238ck |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-61184087992707966 = -1 · 2 · 36 · 119 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,41476,-11458483] |
[a1,a2,a3,a4,a6] |
Generators |
[5014980:126630617:8000] |
Generators of the group modulo torsion |
j |
10824219678756743/83928790113454 |
j-invariant |
L |
8.0466798249434 |
L(r)(E,1)/r! |
Ω |
0.17410156293012 |
Real period |
R |
11.554577234845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582c1 |
Quadratic twists by: -3 |