Atkin-Lehner |
2- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52700h |
Isogeny class |
Conductor |
52700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41280 |
Modular degree for the optimal curve |
Δ |
263500000000 = 28 · 59 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- 0 6 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1708,11912] |
[a1,a2,a3,a4,a6] |
j |
1102736/527 |
j-invariant |
L |
1.7491885610862 |
L(r)(E,1)/r! |
Ω |
0.87459428035409 |
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 |
52700j1 |
Quadratic twists by: 5 |