Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360o |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1467729815184460800 = -1 · 210 · 324 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68880,-58725072] |
[a1,a2,a3,a4,a6] |
Generators |
[771:18630:1] |
Generators of the group modulo torsion |
j |
-35294698463330884/1433329897641075 |
j-invariant |
L |
7.0072413140121 |
L(r)(E,1)/r! |
Ω |
0.11753908318125 |
Real period |
R |
2.4840111066173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48720h3 73080bg3 121800bb3 |
Quadratic twists by: -4 -3 5 |