Atkin-Lehner |
2- 3- 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970bs |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
2555904 |
Modular degree for the optimal curve |
Δ |
-89896430394777600 = -1 · 213 · 318 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2217758,-1270743123] |
[a1,a2,a3,a4,a6] |
j |
-1654773143506480672921/123314719334400 |
j-invariant |
L |
3.2165657025333 |
L(r)(E,1)/r! |
Ω |
0.061857034267588 |
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 |
33990j1 |
Quadratic twists by: -3 |