Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650db |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-9162216000000 = -1 · 29 · 32 · 56 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-931088,345729792] |
[a1,a2,a3,a4,a6] |
Generators |
[556:-320:1] |
Generators of the group modulo torsion |
j |
-5713153642029363769/586381824 |
j-invariant |
L |
11.788815815741 |
L(r)(E,1)/r! |
Ω |
0.56259576533355 |
Real period |
R |
0.29103232388845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2226a1 |
Quadratic twists by: 5 |