Atkin-Lehner |
3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2343f |
Isogeny class |
Conductor |
2343 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
63261 = 34 · 11 · 71 |
Discriminant |
Eigenvalues |
2 3- 3 1 11+ -1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-104,-445] |
[a1,a2,a3,a4,a6] |
j |
125600960512/63261 |
j-invariant |
L |
5.9753989145203 |
L(r)(E,1)/r! |
Ω |
1.4938497286301 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37488t1 7029i1 58575a1 114807e1 |
Quadratic twists by: -4 -3 5 -7 |