Atkin-Lehner |
2+ 3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47658c |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-36239527514112 = -1 · 212 · 3 · 137 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -3 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7602,140340] |
[a1,a2,a3,a4,a6] |
Generators |
[5:420:1] |
Generators of the group modulo torsion |
j |
10063705679/7507968 |
j-invariant |
L |
4.6568462127745 |
L(r)(E,1)/r! |
Ω |
0.41583545257711 |
Real period |
R |
1.3998464368289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666l1 |
Quadratic twists by: 13 |