Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bm |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
719712 |
Modular degree for the optimal curve |
Δ |
779631687240000000 = 29 · 3 · 57 · 710 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-810388,277493906] |
[a1,a2,a3,a4,a6] |
j |
208363453061449/2760000000 |
j-invariant |
L |
1.990938469542 |
L(r)(E,1)/r! |
Ω |
0.28441978136362 |
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 |
101430ej1 33810a1 |
Quadratic twists by: -3 -7 |