Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104cf |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1920772030464 = -1 · 214 · 35 · 7 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13041,-572751] |
[a1,a2,a3,a4,a6] |
j |
-14971653224656/117234621 |
j-invariant |
L |
1.3396374247962 |
L(r)(E,1)/r! |
Ω |
0.2232729039885 |
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 |
55104ba1 13776y1 |
Quadratic twists by: -4 8 |