Atkin-Lehner |
2+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
23240a |
Isogeny class |
Conductor |
23240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-3024546560 = -1 · 28 · 5 · 73 · 832 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 3 5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1321,18235] |
[a1,a2,a3,a4,a6] |
Generators |
[39:166:1] |
Generators of the group modulo torsion |
j |
-996600085504/11814635 |
j-invariant |
L |
5.730457922037 |
L(r)(E,1)/r! |
Ω |
1.4295981933767 |
Real period |
R |
0.50105494227208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46480b1 116200u1 |
Quadratic twists by: -4 5 |