Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386cc |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
901573463952 = 24 · 38 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2435,-6541] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:72:1] |
Generators of the group modulo torsion |
j |
18609625/10512 |
j-invariant |
L |
10.126761834579 |
L(r)(E,1)/r! |
Ω |
0.7324511869424 |
Real period |
R |
1.7282315215807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21462s1 1314d1 |
Quadratic twists by: -3 -7 |