Atkin-Lehner |
7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9583b |
Isogeny class |
Conductor |
9583 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79920 |
Modular degree for the optimal curve |
Δ |
-44576876749711411 = -1 · 73 · 379 |
Discriminant |
Eigenvalues |
0 2 -3 7+ 3 -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-67537,12221912] |
[a1,a2,a3,a4,a6] |
j |
-262144/343 |
j-invariant |
L |
0.64963783152435 |
L(r)(E,1)/r! |
Ω |
0.32481891576218 |
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 |
86247j1 67081g1 9583a1 |
Quadratic twists by: -3 -7 37 |