Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536f |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
45405868032 = 212 · 35 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6025,-177719] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:16:1] |
Generators of the group modulo torsion |
j |
5906184342976/11085417 |
j-invariant |
L |
2.4928738426371 |
L(r)(E,1)/r! |
Ω |
0.54194255124373 |
Real period |
R |
2.2999428970064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536bq1 12768ba1 76608bm1 |
Quadratic twists by: -4 8 -3 |