Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616be |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-172574648862768 = -1 · 24 · 317 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -6 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8670,-704293] |
[a1,a2,a3,a4,a6] |
Generators |
[486206:5001669:2744] |
Generators of the group modulo torsion |
j |
-73984000/177147 |
j-invariant |
L |
6.1402650479168 |
L(r)(E,1)/r! |
Ω |
0.23082404936385 |
Real period |
R |
6.6503740238973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808bi1 13872e1 41616q1 |
Quadratic twists by: -4 -3 17 |