Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
40400a |
Isogeny class |
Conductor |
40400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-3232000000 = -1 · 211 · 56 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 0 -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,3250] |
[a1,a2,a3,a4,a6] |
Generators |
[15:50:1] |
Generators of the group modulo torsion |
j |
-71874/101 |
j-invariant |
L |
4.2922974622059 |
L(r)(E,1)/r! |
Ω |
1.2752717271957 |
Real period |
R |
0.84144762458559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20200a1 1616a1 |
Quadratic twists by: -4 5 |