Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382bf |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-18341826624 = -1 · 26 · 38 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270,6804] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-78:1] [-15:93:1] |
Generators of the group modulo torsion |
j |
-24729001/207936 |
j-invariant |
L |
6.2906886710138 |
L(r)(E,1)/r! |
Ω |
1.049251305951 |
Real period |
R |
0.74942588054629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794bm1 41382bx1 |
Quadratic twists by: -3 -11 |