Atkin-Lehner |
2- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47120g |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-86336358087680000 = -1 · 213 · 54 · 19 · 316 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,90424,-9533840] |
[a1,a2,a3,a4,a6] |
j |
19962278260435511/21078212423750 |
j-invariant |
L |
1.4759327197151 |
L(r)(E,1)/r! |
Ω |
0.18449158994697 |
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 |
5890b1 |
Quadratic twists by: -4 |