Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880i |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-27586349280000 = -1 · 28 · 33 · 54 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7473,-45054] |
[a1,a2,a3,a4,a6] |
Generators |
[27:420:1] |
Generators of the group modulo torsion |
j |
6677362125072/3991080625 |
j-invariant |
L |
7.3050393855934 |
L(r)(E,1)/r! |
Ω |
0.38850867237665 |
Real period |
R |
1.1751731532994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760m2 47880u2 |
Quadratic twists by: -4 -3 |