Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71736l |
Isogeny class |
Conductor |
71736 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
416640 |
Modular degree for the optimal curve |
Δ |
-1334412891802368 = -1 · 28 · 35 · 78 · 612 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 -3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7775,-1735021] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1098:1] |
Generators of the group modulo torsion |
j |
35216384/904203 |
j-invariant |
L |
6.1118737423145 |
L(r)(E,1)/r! |
Ω |
0.23326493763072 |
Real period |
R |
1.3100712446434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71736k1 |
Quadratic twists by: -7 |