Atkin-Lehner |
2- 3- 5- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970bz |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1462272 |
Modular degree for the optimal curve |
Δ |
-183972073699497600 = -1 · 27 · 314 · 52 · 11 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ -1 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,141808,1804659] |
[a1,a2,a3,a4,a6] |
j |
432614678481308231/252362241014400 |
j-invariant |
L |
5.4104829368048 |
L(r)(E,1)/r! |
Ω |
0.1932315271753 |
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 |
33990d1 |
Quadratic twists by: -3 |