Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990d |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-13649787900 = -1 · 22 · 34 · 52 · 73 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,507,-3303] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-165:1] |
Generators of the group modulo torsion |
j |
41890384817/39795300 |
j-invariant |
L |
2.8015406326287 |
L(r)(E,1)/r! |
Ω |
0.68613400706269 |
Real period |
R |
0.34025673845429 |
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 |
74970df1 124950hh1 24990be1 |
Quadratic twists by: -3 5 -7 |