Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600br |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-25320211200 = -1 · 28 · 310 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660,-10060] |
[a1,a2,a3,a4,a6] |
Generators |
[796:22446:1] |
Generators of the group modulo torsion |
j |
-6814720/5427 |
j-invariant |
L |
8.9405392639144 |
L(r)(E,1)/r! |
Ω |
0.45542076453994 |
Real period |
R |
4.907845593821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000104677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200c1 120600bg1 |
Quadratic twists by: -3 5 |