Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10998l |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-4162451245056 = -1 · 211 · 39 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -4 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4021,-2213] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-1462:1] |
Generators of the group modulo torsion |
j |
365372528949/211474432 |
j-invariant |
L |
4.8276929431261 |
L(r)(E,1)/r! |
Ω |
0.46489560793332 |
Real period |
R |
0.15734040400986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984y1 10998c1 |
Quadratic twists by: -4 -3 |