Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
100820a |
Isogeny class |
Conductor |
100820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
176400 |
Modular degree for the optimal curve |
Δ |
10248022713680 = 24 · 5 · 716 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6721,-148056] |
[a1,a2,a3,a4,a6] |
Generators |
[615:15123:1] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
2.8618478806548 |
L(r)(E,1)/r! |
Ω |
0.53978750918495 |
Real period |
R |
1.7672681917556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20a2 |
Quadratic twists by: -71 |