Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
87856p |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-576811431281408 = -1 · 28 · 179 · 19 |
Discriminant |
Eigenvalues |
2- -1 -2 0 2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4634789,-3839002487] |
[a1,a2,a3,a4,a6] |
Generators |
[1070850387212109:52158645317132686:278829021437] |
Generators of the group modulo torsion |
j |
-1781887227854848/93347 |
j-invariant |
L |
4.646008227789 |
L(r)(E,1)/r! |
Ω |
0.05144723726439 |
Real period |
R |
22.576568125092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21964a1 5168f1 |
Quadratic twists by: -4 17 |