Atkin-Lehner |
2+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24752i |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-114453248 = -1 · 28 · 7 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ 1 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124,700] |
[a1,a2,a3,a4,a6] |
Generators |
[18:68:1] |
Generators of the group modulo torsion |
j |
-830321872/447083 |
j-invariant |
L |
5.0253330613039 |
L(r)(E,1)/r! |
Ω |
1.7389812740599 |
Real period |
R |
0.48163572702651 |
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 |
12376p1 99008by1 |
Quadratic twists by: -4 8 |