Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370bf |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
571979283068160000 = 211 · 32 · 54 · 112 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53668029,-151333263848] |
[a1,a2,a3,a4,a6] |
Generators |
[-280314821911602:139331613057577:66282611823] |
Generators of the group modulo torsion |
j |
708234550511150304361/23696640000 |
j-invariant |
L |
4.4191661516358 |
L(r)(E,1)/r! |
Ω |
0.055778989861338 |
Real period |
R |
19.806589159956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610g2 |
Quadratic twists by: 17 |