Atkin-Lehner |
2- 3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840ck |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
1689120000 = 28 · 33 · 54 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-805,8303] |
[a1,a2,a3,a4,a6] |
Generators |
[11:30:1] |
Generators of the group modulo torsion |
j |
225637236736/6598125 |
j-invariant |
L |
7.6958655197389 |
L(r)(E,1)/r! |
Ω |
1.4885902435017 |
Real period |
R |
0.215412578912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460f1 |
Quadratic twists by: -4 |