Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
87856o |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1995887305472 = -1 · 28 · 177 · 19 |
Discriminant |
Eigenvalues |
2- 1 2 4 2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3083,-15713] |
[a1,a2,a3,a4,a6] |
Generators |
[16059:2035138:1] |
Generators of the group modulo torsion |
j |
524288/323 |
j-invariant |
L |
11.805535763822 |
L(r)(E,1)/r! |
Ω |
0.4791789964759 |
Real period |
R |
6.159251476001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21964b1 5168g1 |
Quadratic twists by: -4 17 |