Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240bp |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-223696650240 = -1 · 218 · 34 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2616,-55440] |
[a1,a2,a3,a4,a6] |
Generators |
[1194:41202:1] |
Generators of the group modulo torsion |
j |
-483551781049/54613440 |
j-invariant |
L |
5.76410862711 |
L(r)(E,1)/r! |
Ω |
0.33166038478449 |
Real period |
R |
4.3448877913555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030i1 |
Quadratic twists by: -4 |