Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25800bf |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-38700000000 = -1 · 28 · 32 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -5 3 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1033,15563] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:150:1] |
Generators of the group modulo torsion |
j |
-30505984/9675 |
j-invariant |
L |
7.4369586993699 |
L(r)(E,1)/r! |
Ω |
1.088697754385 |
Real period |
R |
0.85388238717032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600p1 77400h1 5160b1 |
Quadratic twists by: -4 -3 5 |