Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32800p |
Isogeny class |
Conductor |
32800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1025000000 = 26 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-258,512] |
[a1,a2,a3,a4,a6] |
Generators |
[47:300:1] |
Generators of the group modulo torsion |
j |
1906624/1025 |
j-invariant |
L |
6.4240829322098 |
L(r)(E,1)/r! |
Ω |
1.36195893998 |
Real period |
R |
2.3583981659183 |
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 |
32800g1 65600y1 6560g1 |
Quadratic twists by: -4 8 5 |