Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136cr |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
5709998205886464 = 213 · 39 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122712,16100244] |
[a1,a2,a3,a4,a6] |
Generators |
[1038:-31752:1] [-354:3912:1] |
Generators of the group modulo torsion |
j |
424072554697/11849166 |
j-invariant |
L |
11.032396200049 |
L(r)(E,1)/r! |
Ω |
0.42554588375638 |
Real period |
R |
0.18003666686471 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642k1 14448l1 |
Quadratic twists by: -4 -7 |