Atkin-Lehner |
2- 5+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
86950u |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
14580000 |
Modular degree for the optimal curve |
Δ |
-209236480000000000 = -1 · 218 · 510 · 37 · 472 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-405822513,3146509006031] |
[a1,a2,a3,a4,a6] |
Generators |
[314373:-91024:27] |
Generators of the group modulo torsion |
j |
-756888795693780247195225/21425815552 |
j-invariant |
L |
15.160571674507 |
L(r)(E,1)/r! |
Ω |
0.16700503514647 |
Real period |
R |
2.5216424787036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950k1 |
Quadratic twists by: 5 |