Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440cx |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
900 |
Product of Tamagawa factors cp |
deg |
6249600 |
Modular degree for the optimal curve |
Δ |
-8.6027337159407E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52884540,148016192400] |
[a1,a2,a3,a4,a6] |
Generators |
[4230:-4410:1] |
Generators of the group modulo torsion |
j |
-11083722100790228176/582924346875 |
j-invariant |
L |
8.1448284025579 |
L(r)(E,1)/r! |
Ω |
0.14934095895309 |
Real period |
R |
0.060598307383414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76440bu1 |
Quadratic twists by: -7 |