Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200cj |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-219600000000000 = -1 · 213 · 32 · 511 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12992,-424012] |
[a1,a2,a3,a4,a6] |
Generators |
[428:9150:1] |
Generators of the group modulo torsion |
j |
3789119879/3431250 |
j-invariant |
L |
8.2175129581729 |
L(r)(E,1)/r! |
Ω |
0.30738454090245 |
Real period |
R |
3.3417071549935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150q1 14640z1 |
Quadratic twists by: -4 5 |