Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120cp |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-212031733760 = -1 · 215 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,23540] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:176:1] |
Generators of the group modulo torsion |
j |
-117649/440 |
j-invariant |
L |
7.2003888691378 |
L(r)(E,1)/r! |
Ω |
0.87352163701476 |
Real period |
R |
2.0607356944649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390be1 880f1 |
Quadratic twists by: -4 -7 |