Atkin-Lehner |
2+ 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47328c |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
544768 |
Modular degree for the optimal curve |
Δ |
-319794089873559552 = -1 · 212 · 38 · 177 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 0 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,130223,20281633] |
[a1,a2,a3,a4,a6] |
j |
59624330780157632/78074728973037 |
j-invariant |
L |
0.82206683713372 |
L(r)(E,1)/r! |
Ω |
0.2055167092968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47328u1 94656t1 |
Quadratic twists by: -4 8 |