Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008ci |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
-861765632 = -1 · 215 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -3 2 7+ -3 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116,-1328] |
[a1,a2,a3,a4,a6] |
Generators |
[16:68:1] |
Generators of the group modulo torsion |
j |
5268024/26299 |
j-invariant |
L |
3.4568201818446 |
L(r)(E,1)/r! |
Ω |
0.79554679987632 |
Real period |
R |
1.0863032134449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008dg1 49504a1 |
Quadratic twists by: -4 8 |