Atkin-Lehner |
3+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
20235a |
Isogeny class |
Conductor |
20235 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-4781669043543609375 = -1 · 38 · 56 · 194 · 713 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 4 -4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1210918,523060447] |
[a1,a2,a3,a4,a6] |
j |
-196366987364638593316969/4781669043543609375 |
j-invariant |
L |
1.4602971976867 |
L(r)(E,1)/r! |
Ω |
0.24338286628111 |
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 |
60705i1 101175j1 |
Quadratic twists by: -3 5 |