Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382x |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.4900744727421E+24 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-211203917,1175932323551] |
[a1,a2,a3,a4,a6] |
Generators |
[-24076305987839618732304:2327400388685769724685491:1811065510381514752] |
Generators of the group modulo torsion |
j |
8856076866003496152467137/46664863048067576004 |
j-invariant |
L |
10.133290063638 |
L(r)(E,1)/r! |
Ω |
0.076603239276134 |
Real period |
R |
33.070697010694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990955 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10626r3 |
Quadratic twists by: -7 |