Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968be |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1025847209230336 = 223 · 19 · 235 |
Discriminant |
Eigenvalues |
2- -1 -1 2 -3 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26241,-541151] |
[a1,a2,a3,a4,a6] |
j |
7623273198241/3913296544 |
j-invariant |
L |
0.79280872872863 |
L(r)(E,1)/r! |
Ω |
0.39640436436482 |
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 |
27968q1 6992o1 |
Quadratic twists by: -4 8 |