Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800cf |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-35520000000 = -1 · 212 · 3 · 57 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1133,-17637] |
[a1,a2,a3,a4,a6] |
j |
-2515456/555 |
j-invariant |
L |
3.2530317554044 |
L(r)(E,1)/r! |
Ω |
0.40662897875465 |
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 |
88800bk1 17760f1 |
Quadratic twists by: -4 5 |