Atkin-Lehner |
2+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782s |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-1787133999091672 = -1 · 23 · 7 · 118 · 533 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14281,-2138556] |
[a1,a2,a3,a4,a6] |
j |
-1502499625/8337112 |
j-invariant |
L |
0.78447049271647 |
L(r)(E,1)/r! |
Ω |
0.19611761986815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89782bd1 |
Quadratic twists by: -11 |