Atkin-Lehner |
3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025bm |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-21604313671875 = -1 · 37 · 58 · 113 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55242,-4988709] |
[a1,a2,a3,a4,a6] |
j |
-65470966465/75867 |
j-invariant |
L |
0.6227757024037 |
L(r)(E,1)/r! |
Ω |
0.15569392560657 |
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 |
15675bd1 47025v1 |
Quadratic twists by: -3 5 |