Atkin-Lehner |
2- 3+ 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450cd |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37888 |
Modular degree for the optimal curve |
Δ |
59808000 = 28 · 3 · 53 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-168,681] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:17:1] |
Generators of the group modulo torsion |
j |
4196653397/478464 |
j-invariant |
L |
9.5225273977599 |
L(r)(E,1)/r! |
Ω |
1.910856957341 |
Real period |
R |
1.2458451380534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93450bl1 |
Quadratic twists by: 5 |