Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480i |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-90901657728000 = -1 · 210 · 38 · 53 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6216,493920] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-564:1] |
Generators of the group modulo torsion |
j |
-25943384853796/88771150125 |
j-invariant |
L |
7.0960516354272 |
L(r)(E,1)/r! |
Ω |
0.52846153623508 |
Real period |
R |
0.83923464018583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960c2 118440co2 |
Quadratic twists by: -4 -3 |