Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925q |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1871859758484375 = -1 · 316 · 56 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5180,2087822] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:1495:1] |
Generators of the group modulo torsion |
j |
-1349232625/164333367 |
j-invariant |
L |
4.0881918768334 |
L(r)(E,1)/r! |
Ω |
0.38436947964573 |
Real period |
R |
2.6590247752394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975p1 2277a1 |
Quadratic twists by: -3 5 |