Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150o |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
9448569014062500 = 22 · 32 · 58 · 74 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-133500,-18238500] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:825:1] |
Generators of the group modulo torsion |
j |
16840406336564161/604708416900 |
j-invariant |
L |
3.6552089472287 |
L(r)(E,1)/r! |
Ω |
0.25031479738873 |
Real period |
R |
0.91265303363993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72450eh4 4830bh3 |
Quadratic twists by: -3 5 |