Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bh |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-1219218750000 = -1 · 24 · 33 · 510 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43633,3493988] |
[a1,a2,a3,a4,a6] |
Generators |
[128:150:1] |
Generators of the group modulo torsion |
j |
-127157223424/16875 |
j-invariant |
L |
7.1964607016625 |
L(r)(E,1)/r! |
Ω |
0.83250182273084 |
Real period |
R |
1.4407297174744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340f1 86700n1 |
Quadratic twists by: 5 17 |