Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55272bf |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
123935771440134864 = 24 · 35 · 714 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225759,37577826] |
[a1,a2,a3,a4,a6] |
j |
676009238591488/65839792221 |
j-invariant |
L |
3.2127862413934 |
L(r)(E,1)/r! |
Ω |
0.32127862415254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544t1 7896j1 |
Quadratic twists by: -4 -7 |