Atkin-Lehner |
3- 5+ 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
30885g |
Isogeny class |
Conductor |
30885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-335874375 = -1 · 32 · 54 · 292 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 6 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-724,-7603] |
[a1,a2,a3,a4,a6] |
Generators |
[130493:1172884:1331] |
Generators of the group modulo torsion |
j |
-41886766402489/335874375 |
j-invariant |
L |
8.2622206739179 |
L(r)(E,1)/r! |
Ω |
0.46004350605339 |
Real period |
R |
8.9798253482563 |
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 |
92655h1 |
Quadratic twists by: -3 |