Atkin-Lehner |
2+ 3+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368d |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-1014990269184 = -1 · 28 · 39 · 173 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 5 -2 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5103,148446] |
[a1,a2,a3,a4,a6] |
j |
-2916548208/201433 |
j-invariant |
L |
3.4491414441715 |
L(r)(E,1)/r! |
Ω |
0.86228545440089 |
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 |
50184b1 100368e1 |
Quadratic twists by: -4 -3 |