Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120r |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
81282664857600 = 215 · 39 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21627,1144746] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:1350:1] |
Generators of the group modulo torsion |
j |
13875904827/1008200 |
j-invariant |
L |
4.7254068191836 |
L(r)(E,1)/r! |
Ω |
0.59627264871775 |
Real period |
R |
1.9812273920866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390o2 51120q2 |
Quadratic twists by: -4 -3 |