Atkin-Lehner |
3+ 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
98475d |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
1280175 = 3 · 52 · 132 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 3 -2 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53,116] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] |
Generators of the group modulo torsion |
j |
659361145/51207 |
j-invariant |
L |
3.9975890369981 |
L(r)(E,1)/r! |
Ω |
2.660556703135 |
Real period |
R |
0.75126928198585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999722444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98475s1 |
Quadratic twists by: 5 |