Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900p |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-673750000 = -1 · 24 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-758,-8387] |
[a1,a2,a3,a4,a6] |
Generators |
[73:575:1] |
Generators of the group modulo torsion |
j |
-3937024/55 |
j-invariant |
L |
4.5084957688259 |
L(r)(E,1)/r! |
Ω |
0.45451024315914 |
Real period |
R |
2.4798647756771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780l1 53900c1 |
Quadratic twists by: 5 -7 |