Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618z |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
417407828292 = 22 · 33 · 77 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1888,-5638] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:155:1] |
Generators of the group modulo torsion |
j |
6321363049/3547908 |
j-invariant |
L |
3.5185578292627 |
L(r)(E,1)/r! |
Ω |
0.77887829404461 |
Real period |
R |
0.37645567314195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374c1 |
Quadratic twists by: -7 |