Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
72324k |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-17718660338012928 = -1 · 28 · 315 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 5 -4 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4704,6403124] |
[a1,a2,a3,a4,a6] |
j |
524288/807003 |
j-invariant |
L |
1.2174744661594 |
L(r)(E,1)/r! |
Ω |
0.30436861409733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108c1 1476b1 |
Quadratic twists by: -3 -7 |