Atkin-Lehner |
2+ 5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
14570b |
Isogeny class |
Conductor |
14570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-1753062400 = -1 · 210 · 52 · 31 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -6 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-485,-4459] |
[a1,a2,a3,a4,a6] |
Generators |
[58:371:1] |
Generators of the group modulo torsion |
j |
-12631430086569/1753062400 |
j-invariant |
L |
1.7377871643952 |
L(r)(E,1)/r! |
Ω |
0.50472764481001 |
Real period |
R |
1.72150979074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116560i1 72850o1 |
Quadratic twists by: -4 5 |