Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728cy |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-5822043646165254144 = -1 · 223 · 33 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 1 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2938971,1942754058] |
[a1,a2,a3,a4,a6] |
j |
-215773279370739/447469568 |
j-invariant |
L |
3.8423705900553 |
L(r)(E,1)/r! |
Ω |
0.24014816185066 |
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 |
11466bp1 91728cz1 13104be1 |
Quadratic twists by: -4 -3 -7 |