Atkin-Lehner |
2- 3- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350ct |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
852177164062500 = 22 · 33 · 59 · 194 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32263,-1735483] |
[a1,a2,a3,a4,a6] |
j |
1901554419869/436314708 |
j-invariant |
L |
2.172605158689 |
L(r)(E,1)/r! |
Ω |
0.36210086825843 |
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 |
88350p1 |
Quadratic twists by: 5 |