Atkin-Lehner |
2+ 3- 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28842f |
Isogeny class |
Conductor |
28842 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
325728 |
Modular degree for the optimal curve |
Δ |
-61815652468973568 = -1 · 213 · 33 · 116 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45426,12525316] |
[a1,a2,a3,a4,a6] |
j |
-10366292491364265625/61815652468973568 |
j-invariant |
L |
1.8140844218621 |
L(r)(E,1)/r! |
Ω |
0.3023474036437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86526w1 |
Quadratic twists by: -3 |