Atkin-Lehner |
2- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
57680y |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-5168128000 = -1 · 213 · 53 · 72 · 103 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -1 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400,4500] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:56:1] [10:-40:1] |
Generators of the group modulo torsion |
j |
-1732323601/1261750 |
j-invariant |
L |
7.5127259790717 |
L(r)(E,1)/r! |
Ω |
1.2532903636798 |
Real period |
R |
0.24976674057303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210i1 |
Quadratic twists by: -4 |