Atkin-Lehner |
2- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5950r |
Isogeny class |
Conductor |
5950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-159441406250 = -1 · 2 · 59 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -2 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1138,24142] |
[a1,a2,a3,a4,a6] |
j |
-83453453/81634 |
j-invariant |
L |
3.7302699794596 |
L(r)(E,1)/r! |
Ω |
0.93256749486489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47600br1 53550cf1 5950i1 41650cl1 |
Quadratic twists by: -4 -3 5 -7 |