Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cl |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3181176579686400 = 226 · 38 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783372,-266856464] |
[a1,a2,a3,a4,a6] |
Generators |
[75760854:14063964160:2197] |
Generators of the group modulo torsion |
j |
278202094583041/16646400 |
j-invariant |
L |
7.2678759439013 |
L(r)(E,1)/r! |
Ω |
0.16047563497145 |
Real period |
R |
11.322397859968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48960fd2 1530c2 16320bb2 |
Quadratic twists by: -4 8 -3 |