Atkin-Lehner |
2- 3- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44304s |
Isogeny class |
Conductor |
44304 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-69651229999104 = -1 · 215 · 311 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -3 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3336,-393516] |
[a1,a2,a3,a4,a6] |
Generators |
[150:-1872:1] |
Generators of the group modulo torsion |
j |
1002101470343/17004694824 |
j-invariant |
L |
8.4861282851883 |
L(r)(E,1)/r! |
Ω |
0.30070040682428 |
Real period |
R |
0.32069552877039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538e1 |
Quadratic twists by: -4 |