Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990bu |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
580 |
Product of Tamagawa factors cp |
deg |
612480 |
Modular degree for the optimal curve |
Δ |
-1924415461785600000 = -1 · 229 · 34 · 55 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,264725,-41196583] |
[a1,a2,a3,a4,a6] |
Generators |
[3347:194166:1] |
Generators of the group modulo torsion |
j |
41870910074901457151/39273784934400000 |
j-invariant |
L |
7.2173185048707 |
L(r)(E,1)/r! |
Ω |
0.14380810205157 |
Real period |
R |
0.086529565560514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74970x1 124950cw1 24990bv1 |
Quadratic twists by: -3 5 -7 |