Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4732c |
Isogeny class |
Conductor |
4732 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-1729296921753856 = -1 · 28 · 72 · 1310 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 2 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28561,-742586] |
[a1,a2,a3,a4,a6] |
j |
73008/49 |
j-invariant |
L |
0.53610823202842 |
L(r)(E,1)/r! |
Ω |
0.26805411601421 |
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 |
18928w1 75712c1 42588j1 118300o1 |
Quadratic twists by: -4 8 -3 5 |