Atkin-Lehner |
2- 3- 5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270ba |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-373039440448320000 = -1 · 29 · 319 · 54 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39362,-29529151] |
[a1,a2,a3,a4,a6] |
Generators |
[1047:32281:1] |
Generators of the group modulo torsion |
j |
-9251609875472089/511713910080000 |
j-invariant |
L |
12.284620535447 |
L(r)(E,1)/r! |
Ω |
0.13238858035925 |
Real period |
R |
0.64438990575907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30090c1 |
Quadratic twists by: -3 |