Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256z |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
2956800 |
Modular degree for the optimal curve |
Δ |
1.003250805953E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -2 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1374464,-390898161] |
[a1,a2,a3,a4,a6] |
Generators |
[-455:11853:1] |
Generators of the group modulo torsion |
j |
17947507904136033140992/6270317537206298121 |
j-invariant |
L |
9.3808188814159 |
L(r)(E,1)/r! |
Ω |
0.14342821680423 |
Real period |
R |
4.3602851596528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128u1 |
Quadratic twists by: -4 |