Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742bb |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-191156727491136 = -1 · 26 · 36 · 114 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 11- -1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17556,-1111024] |
[a1,a2,a3,a4,a6] |
Generators |
[160:316:1] [512:10876:1] |
Generators of the group modulo torsion |
j |
-2933428257/937024 |
j-invariant |
L |
6.9675823587046 |
L(r)(E,1)/r! |
Ω |
0.20405285787159 |
Real period |
R |
0.71137433351336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638o1 104742m1 |
Quadratic twists by: -3 -23 |