Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
40204c |
Isogeny class |
Conductor |
40204 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9936 |
Modular degree for the optimal curve |
Δ |
3698768 = 24 · 19 · 233 |
Discriminant |
Eigenvalues |
2- -2 0 -4 4 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,-776] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1:1] |
Generators of the group modulo torsion |
j |
2048000/19 |
j-invariant |
L |
2.2038639019473 |
L(r)(E,1)/r! |
Ω |
1.3574804655864 |
Real period |
R |
1.0823305664764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40204k1 |
Quadratic twists by: -23 |