Atkin-Lehner |
2+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664h |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
757760 |
Modular degree for the optimal curve |
Δ |
1045529444483072 = 218 · 175 · 532 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1894273,1002855135] |
[a1,a2,a3,a4,a6] |
j |
2867554803676902625/3988378313 |
j-invariant |
L |
0.83536718250344 |
L(r)(E,1)/r! |
Ω |
0.41768359314731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664bc1 901b1 |
Quadratic twists by: -4 8 |