Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650bj |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-1205280000000 = -1 · 211 · 35 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 2 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2437,25617] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-1871:1] |
Generators of the group modulo torsion |
j |
102437538839/77137920 |
j-invariant |
L |
6.0550044510169 |
L(r)(E,1)/r! |
Ω |
0.55287410035273 |
Real period |
R |
0.049781220511257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37200by1 13950q1 930c1 |
Quadratic twists by: -4 -3 5 |