Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cs |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
Δ |
-64769832051572736 = -1 · 215 · 39 · 114 · 193 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-135059,22725299] |
[a1,a2,a3,a4,a6] |
Generators |
[-327:5806:1] |
Generators of the group modulo torsion |
j |
-25526602639417/6068404224 |
j-invariant |
L |
5.2143051895675 |
L(r)(E,1)/r! |
Ω |
0.33269182418937 |
Real period |
R |
0.26121798064748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13794s2 41382y2 |
Quadratic twists by: -3 -11 |