Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990v |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7779368357460 = 22 · 34 · 5 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89304,10263586] |
[a1,a2,a3,a4,a6] |
Generators |
[179:57:1] |
Generators of the group modulo torsion |
j |
669485563505641/66123540 |
j-invariant |
L |
4.6440387254778 |
L(r)(E,1)/r! |
Ω |
0.70900751832698 |
Real period |
R |
0.81875696051083 |
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 |
74970eb4 124950fw4 3570g3 |
Quadratic twists by: -3 5 -7 |