Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45288b |
Isogeny class |
Conductor |
45288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-13029901056 = -1 · 28 · 37 · 17 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -5 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,5492] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:54:1] [2:-74:1] |
Generators of the group modulo torsion |
j |
-1024/69819 |
j-invariant |
L |
9.2915974537828 |
L(r)(E,1)/r! |
Ω |
1.0054263712007 |
Real period |
R |
0.57759061975654 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576c1 15096e1 |
Quadratic twists by: -4 -3 |