Atkin-Lehner |
2- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11590q |
Isogeny class |
Conductor |
11590 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
22800 |
Modular degree for the optimal curve |
Δ |
118681600000 = 215 · 55 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -1 5- -2 2 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37810,2814015] |
[a1,a2,a3,a4,a6] |
j |
5977842413779959841/118681600000 |
j-invariant |
L |
2.8991297506468 |
L(r)(E,1)/r! |
Ω |
0.96637658354894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
92720bf1 104310j1 57950e1 |
Quadratic twists by: -4 -3 5 |