Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100bl |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
-542430000 = -1 · 24 · 33 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 0 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-1312] |
[a1,a2,a3,a4,a6] |
Generators |
[32:168:1] |
Generators of the group modulo torsion |
j |
-26214400/54243 |
j-invariant |
L |
7.8718889774568 |
L(r)(E,1)/r! |
Ω |
0.65921804325476 |
Real period |
R |
1.9902087171164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86100m1 |
Quadratic twists by: 5 |