Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39975t |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
84322265625 = 34 · 59 · 13 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34626,2477023] |
[a1,a2,a3,a4,a6] |
Generators |
[694:2511:8] |
Generators of the group modulo torsion |
j |
293827628762641/5396625 |
j-invariant |
L |
8.4502938432964 |
L(r)(E,1)/r! |
Ω |
0.99220460996499 |
Real period |
R |
4.2583423612567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119925bj1 7995c1 |
Quadratic twists by: -3 5 |