Atkin-Lehner |
2+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29920f |
Isogeny class |
Conductor |
29920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48640 |
Modular degree for the optimal curve |
Δ |
-7008939520000 = -1 · 212 · 54 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2355,118757] |
[a1,a2,a3,a4,a6] |
j |
352494278144/1711166875 |
j-invariant |
L |
4.2906851944144 |
L(r)(E,1)/r! |
Ω |
0.53633564930211 |
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 |
29920h1 59840ba1 |
Quadratic twists by: -4 8 |