Atkin-Lehner |
2+ 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100368i |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-126434774016 = -1 · 210 · 311 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 6 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1227,-23798] |
[a1,a2,a3,a4,a6] |
j |
-273671716/169371 |
j-invariant |
L |
3.1384000194698 |
L(r)(E,1)/r! |
Ω |
0.3923000064943 |
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 |
50184e1 33456k1 |
Quadratic twists by: -4 -3 |