Atkin-Lehner |
2- 3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010r |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-2698522481377935360 = -1 · 220 · 37 · 5 · 234 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11025,79038645] |
[a1,a2,a3,a4,a6] |
j |
148203016931667599/2698522481377935360 |
j-invariant |
L |
2.0181300251035 |
L(r)(E,1)/r! |
Ω |
0.20181300251035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60030h1 100050t1 |
Quadratic twists by: -3 5 |