Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918bp |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
-694576234213759688 = -1 · 23 · 72 · 172 · 1910 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 3 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,127606,-36044692] |
[a1,a2,a3,a4,a6] |
Generators |
[7346:626670:1] |
Generators of the group modulo torsion |
j |
37480103/113288 |
j-invariant |
L |
10.692983554406 |
L(r)(E,1)/r! |
Ω |
0.14661179221602 |
Real period |
R |
6.0778328225865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918p1 |
Quadratic twists by: -19 |