Atkin-Lehner |
3- 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66975l |
Isogeny class |
Conductor |
66975 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1592640 |
Modular degree for the optimal curve |
Δ |
3011523565306640625 = 314 · 59 · 193 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 6 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-748388,-234853233] |
[a1,a2,a3,a4,a6] |
j |
23734175805927341/1541900065437 |
j-invariant |
L |
1.1408616931275 |
L(r)(E,1)/r! |
Ω |
0.16298024128602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66975e1 |
Quadratic twists by: 5 |