Atkin-Lehner |
2- 3+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
73968c |
Isogeny class |
Conductor |
73968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
65721815396352 = 212 · 39 · 233 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 1 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18240,870336] |
[a1,a2,a3,a4,a6] |
j |
163855897047361/16045365087 |
j-invariant |
L |
1.2044884085229 |
L(r)(E,1)/r! |
Ω |
0.60224420397062 |
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 |
4623c1 |
Quadratic twists by: -4 |