Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20102c |
Isogeny class |
Conductor |
20102 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
609408 |
Modular degree for the optimal curve |
Δ |
4546311046630695856 = 24 · 193 · 2310 |
Discriminant |
Eigenvalues |
2+ 1 3 4 6 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-425592,29903958] |
[a1,a2,a3,a4,a6] |
j |
205789993/109744 |
j-invariant |
L |
3.8572874664493 |
L(r)(E,1)/r! |
Ω |
0.21429374813607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20102j1 |
Quadratic twists by: -23 |