Atkin-Lehner |
2- 3+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
10302d |
Isogeny class |
Conductor |
10302 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
31990051222218 = 2 · 38 · 176 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9368,214607] |
[a1,a2,a3,a4,a6] |
j |
90921638966154625/31990051222218 |
j-invariant |
L |
2.4151923087567 |
L(r)(E,1)/r! |
Ω |
0.60379807718918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82416j2 30906h2 |
Quadratic twists by: -4 -3 |