Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dj |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53084160 |
Modular degree for the optimal curve |
Δ |
1.4010193419436E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-390084126,2355936037648] |
[a1,a2,a3,a4,a6] |
Generators |
[-35036872584:-7306882056032:3176523] |
Generators of the group modulo torsion |
j |
3571003510905229697089/762141946675200000 |
j-invariant |
L |
5.5470275026262 |
L(r)(E,1)/r! |
Ω |
0.045367210773785 |
Real period |
R |
15.283691138699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007752 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cc1 13650c1 |
Quadratic twists by: 5 -7 |