Atkin-Lehner |
2+ 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550s |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-27482112000000 = -1 · 217 · 33 · 56 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 0 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4400,-224000] |
[a1,a2,a3,a4,a6] |
j |
602708730623/1758855168 |
j-invariant |
L |
0.68342748108218 |
L(r)(E,1)/r! |
Ω |
0.34171374963893 |
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 |
2982i1 |
Quadratic twists by: 5 |