Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918br |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2134080 |
Modular degree for the optimal curve |
Δ |
-2951948995408478674 = -1 · 2 · 72 · 173 · 1910 |
Discriminant |
Eigenvalues |
2- 2 3 7- -6 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,127606,80833033] |
[a1,a2,a3,a4,a6] |
Generators |
[482370494:15956291067:551368] |
Generators of the group modulo torsion |
j |
37480103/481474 |
j-invariant |
L |
17.943558497393 |
L(r)(E,1)/r! |
Ω |
0.18766642691722 |
Real period |
R |
15.935685100045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918s1 |
Quadratic twists by: -19 |