Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575c |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
12347412109375 = 514 · 7 · 172 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ 6 6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6313,-93758] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:155:1] |
Generators of the group modulo torsion |
j |
6161940649/2734375 |
j-invariant |
L |
5.0537096891192 |
L(r)(E,1)/r! |
Ω |
0.55807710872548 |
Real period |
R |
4.5277880153946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115l1 50575v1 |
Quadratic twists by: 5 17 |