Atkin-Lehner |
3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325q |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3145728 |
Modular degree for the optimal curve |
Δ |
-6.9712533592337E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,174370,-400775628] |
[a1,a2,a3,a4,a6] |
j |
51474696591599/6120167558175 |
j-invariant |
L |
0.36940134761931 |
L(r)(E,1)/r! |
Ω |
0.092350304341045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38775d1 23265n1 |
Quadratic twists by: -3 5 |