Atkin-Lehner |
2+ 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30438f |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
1256427154833408 = 222 · 311 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70902,-7046028] |
[a1,a2,a3,a4,a6] |
Generators |
[1225970328:50770593273:681472] |
Generators of the group modulo torsion |
j |
54072330385398625/1723494039552 |
j-invariant |
L |
4.5239670040121 |
L(r)(E,1)/r! |
Ω |
0.29314499886394 |
Real period |
R |
15.432523227564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146q1 |
Quadratic twists by: -3 |