Atkin-Lehner |
2- 3- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718u |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-238710528 = -1 · 28 · 32 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-298,-2140] |
[a1,a2,a3,a4,a6] |
Generators |
[28:94:1] |
Generators of the group modulo torsion |
j |
-2927275422625/238710528 |
j-invariant |
L |
10.718656337615 |
L(r)(E,1)/r! |
Ω |
0.5718536083676 |
Real period |
R |
2.3429633434097 |
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 |
98154v1 |
Quadratic twists by: -3 |