Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14350c |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
45600 |
Modular degree for the optimal curve |
Δ |
-2870000000000 = -1 · 210 · 510 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 4 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1133,-80459] |
[a1,a2,a3,a4,a6] |
Generators |
[38:109:1] |
Generators of the group modulo torsion |
j |
16462575/293888 |
j-invariant |
L |
1.9874891001158 |
L(r)(E,1)/r! |
Ω |
0.39184047394301 |
Real period |
R |
2.5360947021579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800bw1 129150cx1 14350x1 100450t1 |
Quadratic twists by: -4 -3 5 -7 |