Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968bi |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1108024589312 = -1 · 210 · 196 · 23 |
Discriminant |
Eigenvalues |
2- 3 2 4 -4 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12244,523928] |
[a1,a2,a3,a4,a6] |
j |
-198241108860672/1082055263 |
j-invariant |
L |
7.0028781622741 |
L(r)(E,1)/r! |
Ω |
0.87535977028417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968x1 6992u1 |
Quadratic twists by: -4 8 |