Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550g |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-551232208896000 = -1 · 230 · 3 · 53 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54185,4961925] |
[a1,a2,a3,a4,a6] |
j |
-140754878313089741/4409857671168 |
j-invariant |
L |
1.0333612652179 |
L(r)(E,1)/r! |
Ω |
0.51668063260893 |
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 |
44400da1 16650ci1 5550bq1 |
Quadratic twists by: -4 -3 5 |