Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545y |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
1560 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
-1.4255465046212E+24 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -1 0 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,15430225,52499028281] |
[a1,a2,a3,a4,a6] |
Generators |
[-905:-194408:1] |
Generators of the group modulo torsion |
j |
2744564518708084736/9629735831296875 |
j-invariant |
L |
6.7190456757467 |
L(r)(E,1)/r! |
Ω |
0.060482809651613 |
Real period |
R |
0.071211648172397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2415c1 |
Quadratic twists by: -23 |