Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ed |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.2717363755148E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-713161,-589778135] |
[a1,a2,a3,a4,a6] |
Generators |
[1128:6305:1] |
Generators of the group modulo torsion |
j |
-9793256488426131904/31048251355341675 |
j-invariant |
L |
4.112789589398 |
L(r)(E,1)/r! |
Ω |
0.075748964096074 |
Real period |
R |
4.5245828696505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012847 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gf2 43680ca1 |
Quadratic twists by: -4 8 |