Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150bq |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
3153920 |
Modular degree for the optimal curve |
Δ |
-9.1280504691712E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-337105,-465719103] |
[a1,a2,a3,a4,a6] |
Generators |
[1605:55106:1] |
Generators of the group modulo torsion |
j |
-6719171103/144769024 |
j-invariant |
L |
10.816773870861 |
L(r)(E,1)/r! |
Ω |
0.082344136225007 |
Real period |
R |
4.1050182519996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4606e1 115150ce1 |
Quadratic twists by: 5 -7 |