Atkin-Lehner |
2- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
85918bk |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-723426466952 = -1 · 23 · 74 · 172 · 194 |
Discriminant |
Eigenvalues |
2- -1 0 7- 5 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38093,-2877813] |
[a1,a2,a3,a4,a6] |
j |
-46907852514625/5551112 |
j-invariant |
L |
4.1007789607136 |
L(r)(E,1)/r! |
Ω |
0.1708657912268 |
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 |
85918w1 |
Quadratic twists by: -19 |