Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290y |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
298368 |
Modular degree for the optimal curve |
Δ |
7070335052222080 = 27 · 5 · 737 |
Discriminant |
Eigenvalues |
2- -1 5- 1 1 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-138665,19400727] |
[a1,a2,a3,a4,a6] |
Generators |
[-335:5496:1] |
Generators of the group modulo torsion |
j |
1948441249/46720 |
j-invariant |
L |
8.7012256216735 |
L(r)(E,1)/r! |
Ω |
0.418790859232 |
Real period |
R |
1.484072782713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730i1 |
Quadratic twists by: 73 |