Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760x |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-20221242900480 = -1 · 229 · 35 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 2 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6239,106175] |
[a1,a2,a3,a4,a6] |
j |
102437538839/77137920 |
j-invariant |
L |
4.3708535410778 |
L(r)(E,1)/r! |
Ω |
0.43708535410778 |
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 |
29760bv1 930c1 89280cj1 |
Quadratic twists by: -4 8 -3 |