Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008cl |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
330240 |
Modular degree for the optimal curve |
Δ |
-6483089779712 = -1 · 210 · 73 · 13 · 175 |
Discriminant |
Eigenvalues |
2- -3 2 7+ -5 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,296,122488] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:289:1] [-14:340:1] |
Generators of the group modulo torsion |
j |
2800908288/6331142363 |
j-invariant |
L |
7.4418224079885 |
L(r)(E,1)/r! |
Ω |
0.58955802005036 |
Real period |
R |
1.2622714229078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008bk1 24752e1 |
Quadratic twists by: -4 8 |