Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090bh |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
406 |
Product of Tamagawa factors cp |
deg |
67525920 |
Modular degree for the optimal curve |
Δ |
-4.6576906907216E+31 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -4 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1220339660,328764484912272] |
[a1,a2,a3,a4,a6] |
j |
-200986038066345332307315669570241/46576906907216019686488748851200 |
j-invariant |
L |
6.6728779497332 |
L(r)(E,1)/r! |
Ω |
0.016435659974712 |
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 |
96720cf1 36270l1 60450o1 |
Quadratic twists by: -4 -3 5 |