Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24752w |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-350513072 = -1 · 24 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -3 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3673,-84472] |
[a1,a2,a3,a4,a6] |
j |
-342597941248000/21907067 |
j-invariant |
L |
0.91986493210986 |
L(r)(E,1)/r! |
Ω |
0.30662164403662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6188f1 99008bx1 |
Quadratic twists by: -4 8 |