Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450bm |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-2.2029170932538E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13040208,-69074485884] |
[a1,a2,a3,a4,a6] |
Generators |
[3729:175323:1] |
Generators of the group modulo torsion |
j |
21529289381199961031/193397385415972500 |
j-invariant |
L |
5.3869132613286 |
L(r)(E,1)/r! |
Ω |
0.040684863464487 |
Real period |
R |
1.3792274330582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150cl3 14490bw4 |
Quadratic twists by: -3 5 |