Atkin-Lehner |
2+ 3- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
64752d |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
2.3014074790711E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3623544,2643642036] |
[a1,a2,a3,a4,a6] |
Generators |
[972:6390:1] |
Generators of the group modulo torsion |
j |
2569179792039643852274/11237341206401883 |
j-invariant |
L |
6.4354941493718 |
L(r)(E,1)/r! |
Ω |
0.21490463069159 |
Real period |
R |
0.99819380789551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32376a2 |
Quadratic twists by: -4 |