Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864t |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-643534848 = -1 · 212 · 33 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84,1184] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:28:1] |
Generators of the group modulo torsion |
j |
592704/5819 |
j-invariant |
L |
5.0243892733108 |
L(r)(E,1)/r! |
Ω |
1.1898036548464 |
Real period |
R |
2.1114363081869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72864c2 72864b2 |
Quadratic twists by: -4 -3 |