Atkin-Lehner |
3+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106329a |
Isogeny class |
Conductor |
106329 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
684369914847 = 3 · 237 · 67 |
Discriminant |
Eigenvalues |
1 3+ 0 4 3 -6 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2920,44677] |
[a1,a2,a3,a4,a6] |
j |
18609625/4623 |
j-invariant |
L |
3.3999435119342 |
L(r)(E,1)/r! |
Ω |
0.84998605442409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4623a1 |
Quadratic twists by: -23 |