Atkin-Lehner |
2- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95992c |
Isogeny class |
Conductor |
95992 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
24573952 = 211 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 0 -2 5 4 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91,-234] |
[a1,a2,a3,a4,a6] |
Generators |
[98:177:8] |
Generators of the group modulo torsion |
j |
240786/71 |
j-invariant |
L |
6.704890830191 |
L(r)(E,1)/r! |
Ω |
1.5807916838208 |
Real period |
R |
4.2414765342044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95992a1 |
Quadratic twists by: 13 |