Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150o |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1429490497968750 = 2 · 3 · 57 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2117250,-1186667250] |
[a1,a2,a3,a4,a6] |
Generators |
[1915:41305:1] |
Generators of the group modulo torsion |
j |
67176973097223766561/91487391870 |
j-invariant |
L |
3.6552089472287 |
L(r)(E,1)/r! |
Ω |
0.12515739869437 |
Real period |
R |
1.8253060672799 |
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 |
72450eh6 4830bh5 |
Quadratic twists by: -3 5 |