Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6090x |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-1096200 = -1 · 23 · 33 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1791,29025] |
[a1,a2,a3,a4,a6] |
j |
-635368419908209/1096200 |
j-invariant |
L |
4.7135675702587 |
L(r)(E,1)/r! |
Ω |
2.3567837851294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48720bd1 18270y1 30450c1 42630cr1 |
Quadratic twists by: -4 -3 5 -7 |