Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800bj |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
46720000 = 210 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3 5- -2 4 4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,200] |
[a1,a2,a3,a4,a6] |
Generators |
[-18708:6389:1728] |
Generators of the group modulo torsion |
j |
172800/73 |
j-invariant |
L |
14.097251574056 |
L(r)(E,1)/r! |
Ω |
1.8215445105443 |
Real period |
R |
7.7391748908266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800de1 7300g1 116800n1 |
Quadratic twists by: -4 8 5 |