Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760ck |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-903960000000000 = -1 · 212 · 36 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21799,754215] |
[a1,a2,a3,a4,a6] |
j |
279674941219136/220693359375 |
j-invariant |
L |
3.8436922199211 |
L(r)(E,1)/r! |
Ω |
0.32030768499338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760bm1 14880f1 89280fo1 |
Quadratic twists by: -4 8 -3 |