Atkin-Lehner |
3- 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103935h |
Isogeny class |
Conductor |
103935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-4823792244375 = -1 · 3 · 54 · 137 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4221,-4223] |
[a1,a2,a3,a4,a6] |
j |
1723683599/999375 |
j-invariant |
L |
0.91469519420957 |
L(r)(E,1)/r! |
Ω |
0.45734755326223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7995j1 |
Quadratic twists by: 13 |