Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382ce |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-5938169721462 = -1 · 2 · 36 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8735,-333187] |
[a1,a2,a3,a4,a6] |
Generators |
[8138677311098713678572:-242642754503415822342133:9349711076506221504] |
Generators of the group modulo torsion |
j |
-471625/38 |
j-invariant |
L |
8.8362268741887 |
L(r)(E,1)/r! |
Ω |
0.24578633596606 |
Real period |
R |
35.950846654913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598i1 41382k1 |
Quadratic twists by: -3 -11 |