Atkin-Lehner |
2+ 3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290f |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-3.388466455511E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -3 6 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48240,-280083200] |
[a1,a2,a3,a4,a6] |
j |
-17030333208119041/46481021337600000 |
j-invariant |
L |
0.18770304542036 |
L(r)(E,1)/r! |
Ω |
0.09385158687782 |
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 |
32430y1 |
Quadratic twists by: -3 |