Atkin-Lehner |
2+ 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070f |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-981000720000 = -1 · 27 · 39 · 54 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2115,-60075] |
[a1,a2,a3,a4,a6] |
j |
-1435630901041/1345680000 |
j-invariant |
L |
1.355775767508 |
L(r)(E,1)/r! |
Ω |
0.33894394217998 |
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 |
18690p1 |
Quadratic twists by: -3 |