Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450b |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1402560 |
Modular degree for the optimal curve |
Δ |
-1859640308531200 = -1 · 230 · 52 · 13 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 -3 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23694812,44400306256] |
[a1,a2,a3,a4,a6] |
Generators |
[346680:252644:125] |
Generators of the group modulo torsion |
j |
-58849600033133077786676865/74385612341248 |
j-invariant |
L |
3.9719387447863 |
L(r)(E,1)/r! |
Ω |
0.29837010979766 |
Real period |
R |
3.3280300324443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47450bd1 |
Quadratic twists by: 5 |