Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394x |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4949316594 = 2 · 38 · 233 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7567,252680] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:518:1] |
Generators of the group modulo torsion |
j |
3937575558671/406782 |
j-invariant |
L |
5.5140266079104 |
L(r)(E,1)/r! |
Ω |
1.3104856136121 |
Real period |
R |
1.0519052166823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98394v2 |
Quadratic twists by: -23 |