Atkin-Lehner |
2+ 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550c |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
689732916386250000 = 24 · 3 · 57 · 116 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-766750,-255633500] |
[a1,a2,a3,a4,a6] |
Generators |
[-505:2015:1] [-480:1690:1] |
Generators of the group modulo torsion |
j |
3190552719143309281/44142906648720 |
j-invariant |
L |
6.3464608811656 |
L(r)(E,1)/r! |
Ω |
0.16147294099292 |
Real period |
R |
3.2752963861796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510q3 |
Quadratic twists by: 5 |