Atkin-Lehner |
2+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918m |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
1001006925778653668 = 22 · 74 · 17 · 1910 |
Discriminant |
Eigenvalues |
2+ -2 4 7- -2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-393859,82029834] |
[a1,a2,a3,a4,a6] |
Generators |
[-483:12876:1] |
Generators of the group modulo torsion |
j |
143622619359409/21277249028 |
j-invariant |
L |
4.4572065208316 |
L(r)(E,1)/r! |
Ω |
0.26633854423416 |
Real period |
R |
2.0918895431358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4522h1 |
Quadratic twists by: -19 |