Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298d |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
334905271444492848 = 24 · 39 · 1110 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 4 3 11- 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-222360,29271248] |
[a1,a2,a3,a4,a6] |
j |
2381643/656 |
j-invariant |
L |
4.5387456784096 |
L(r)(E,1)/r! |
Ω |
0.28367161128043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298bt1 89298bs1 |
Quadratic twists by: -3 -11 |