Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720be |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
81501143334912000 = 218 · 36 · 53 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142158056,652434431856] |
[a1,a2,a3,a4,a6] |
Generators |
[107560900:-373184:15625] |
Generators of the group modulo torsion |
j |
77567214327657812308568809/19897740072000 |
j-invariant |
L |
4.2269796120823 |
L(r)(E,1)/r! |
Ω |
0.20174296479443 |
Real period |
R |
5.2380756082212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090j3 |
Quadratic twists by: -4 |