Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550df |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-125178536000 = -1 · 26 · 53 · 77 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -2 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1077,10681] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-518:1] |
Generators of the group modulo torsion |
j |
9393931/8512 |
j-invariant |
L |
6.3949006177201 |
L(r)(E,1)/r! |
Ω |
0.68171482839241 |
Real period |
R |
0.19542936526148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550bk1 6650bc1 |
Quadratic twists by: 5 -7 |