Atkin-Lehner |
2- 3- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050ch |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-480240000000 = -1 · 210 · 32 · 57 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,937,-31383] |
[a1,a2,a3,a4,a6] |
Generators |
[76:655:1] |
Generators of the group modulo torsion |
j |
5822285399/30735360 |
j-invariant |
L |
16.023787633101 |
L(r)(E,1)/r! |
Ω |
0.46888239201816 |
Real period |
R |
3.4174428174382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010g1 |
Quadratic twists by: 5 |