Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474br |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-707228479172413458 = -1 · 2 · 36 · 134 · 198 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1948385,-1047086045] |
[a1,a2,a3,a4,a6] |
Generators |
[11146897965202634:2381997794666816207:242737073272] |
Generators of the group modulo torsion |
j |
-66068051625/57122 |
j-invariant |
L |
9.3162142238779 |
L(r)(E,1)/r! |
Ω |
0.063889334611302 |
Real period |
R |
24.302997990084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386d1 84474u1 |
Quadratic twists by: -3 -19 |