Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4884b |
Isogeny class |
Conductor |
4884 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
342613635408 = 24 · 314 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11+ 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2221,-28082] |
[a1,a2,a3,a4,a6] |
j |
75760866033664/21413352213 |
j-invariant |
L |
2.1309911165372 |
L(r)(E,1)/r! |
Ω |
0.71033037217907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536bg1 78144bq1 14652g1 122100s1 |
Quadratic twists by: -4 8 -3 5 |