Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5950i |
Isogeny class |
Conductor |
5950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-10204250 = -1 · 2 · 53 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -2 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45,175] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:20:1] |
Generators of the group modulo torsion |
j |
-83453453/81634 |
j-invariant |
L |
2.2012476833774 |
L(r)(E,1)/r! |
Ω |
2.0852843121246 |
Real period |
R |
0.13195129259944 |
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 |
47600bi1 53550eq1 5950r1 41650bc1 |
Quadratic twists by: -4 -3 5 -7 |