Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100bb |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-111606578092800 = -1 · 28 · 311 · 52 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7987,-424977] |
[a1,a2,a3,a4,a6] |
Generators |
[217:3402:1] |
Generators of the group modulo torsion |
j |
8803196887040/17438527827 |
j-invariant |
L |
9.4932540112707 |
L(r)(E,1)/r! |
Ω |
0.30926744436721 |
Real period |
R |
0.2325449778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86100o1 |
Quadratic twists by: 5 |