Atkin-Lehner |
2- 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bq |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
123940733091840000 = 218 · 33 · 54 · 72 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1738298,882405497] |
[a1,a2,a3,a4,a6] |
j |
21514556858212712878947/4590397521920000 |
j-invariant |
L |
3.8571801237518 |
L(r)(E,1)/r! |
Ω |
0.32143167702375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52290h3 |
Quadratic twists by: -3 |