Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010x |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2001000 = -1 · 23 · 3 · 53 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 -3 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1035,-12903] |
[a1,a2,a3,a4,a6] |
Generators |
[44:143:1] |
Generators of the group modulo torsion |
j |
-122622731688241/2001000 |
j-invariant |
L |
9.8579569355505 |
L(r)(E,1)/r! |
Ω |
0.42085438920895 |
Real period |
R |
2.6026306876668 |
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 |
60030i1 100050a1 |
Quadratic twists by: -3 5 |