Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840bs |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
262691942400 = 212 · 38 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-834160,-292961408] |
[a1,a2,a3,a4,a6] |
Generators |
[3442:193914:1] |
Generators of the group modulo torsion |
j |
15671564930478950641/64133775 |
j-invariant |
L |
6.8193086205309 |
L(r)(E,1)/r! |
Ω |
0.15797456612917 |
Real period |
R |
5.395891244506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999968811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5865g4 |
Quadratic twists by: -4 |