Atkin-Lehner |
3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397d |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-295191 = -1 · 33 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 3+ -3 0 5 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16,2] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
21141/13 |
j-invariant |
L |
3.3104431880673 |
L(r)(E,1)/r! |
Ω |
1.8969356226665 |
Real period |
R |
0.8725765781338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98397c1 98397g1 |
Quadratic twists by: -3 29 |