Atkin-Lehner |
2- 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28140a |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
37707600 = 24 · 3 · 52 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31421,-2133330] |
[a1,a2,a3,a4,a6] |
j |
214426056875966464/2356725 |
j-invariant |
L |
1.0757581801979 |
L(r)(E,1)/r! |
Ω |
0.35858606006589 |
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 |
112560ck1 84420s1 |
Quadratic twists by: -4 -3 |