Atkin-Lehner |
2- 3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bc |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3120768 |
Modular degree for the optimal curve |
Δ |
-1.7112884247673E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-269764,631786012] |
[a1,a2,a3,a4,a6] |
j |
-8480810018874828112/668472040924735509 |
j-invariant |
L |
3.7272060566214 |
L(r)(E,1)/r! |
Ω |
0.1490882422449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17556n1 |
Quadratic twists by: -4 |