Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930l |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
34272 |
Modular degree for the optimal curve |
Δ |
-82148414250 = -1 · 2 · 3 · 53 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,808,-10254] |
[a1,a2,a3,a4,a6] |
j |
10100279/14250 |
j-invariant |
L |
1.7236943970588 |
L(r)(E,1)/r! |
Ω |
0.57456479901982 |
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 |
83790dm1 27930bf1 |
Quadratic twists by: -3 -7 |