Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10998k |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
573700366547191728 = 24 · 39 · 132 · 476 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-761510,-252977147] |
[a1,a2,a3,a4,a6] |
Generators |
[-67645:114841:125] |
Generators of the group modulo torsion |
j |
2481182545356934875/29146998249616 |
j-invariant |
L |
7.3117224664474 |
L(r)(E,1)/r! |
Ω |
0.16172944779232 |
Real period |
R |
5.6511990907157 |
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 |
87984u4 10998b2 |
Quadratic twists by: -4 -3 |