Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848n |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-5760649700315136 = -1 · 212 · 38 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175692,28579232] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-484:1] |
Generators of the group modulo torsion |
j |
-937024/9 |
j-invariant |
L |
6.9414772463106 |
L(r)(E,1)/r! |
Ω |
0.42879884955246 |
Real period |
R |
0.67450791646976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34848bt1 69696bu1 11616r1 34848bu1 |
Quadratic twists by: -4 8 -3 -11 |