Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736w |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
523351205912832 = 28 · 3 · 119 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31500,1838604] |
[a1,a2,a3,a4,a6] |
j |
5726576/867 |
j-invariant |
L |
0.99905367295589 |
L(r)(E,1)/r! |
Ω |
0.49952679460626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368c1 98736z1 |
Quadratic twists by: -4 -11 |