Atkin-Lehner |
2- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
85918bf |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
354240 |
Modular degree for the optimal curve |
Δ |
-174303224037376 = -1 · 215 · 74 · 17 · 194 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 2 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9198,537604] |
[a1,a2,a3,a4,a6] |
Generators |
[372:-7634:1] |
Generators of the group modulo torsion |
j |
660368840687/1337491456 |
j-invariant |
L |
4.9437951670035 |
L(r)(E,1)/r! |
Ω |
0.39485509170359 |
Real period |
R |
0.13911700425127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918f1 |
Quadratic twists by: -19 |