Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990u |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-825767224934400 = -1 · 218 · 32 · 52 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-125319,17120842] |
[a1,a2,a3,a4,a6] |
Generators |
[103:2252:1] |
Generators of the group modulo torsion |
j |
-1850040570997081/7018905600 |
j-invariant |
L |
4.5766880567143 |
L(r)(E,1)/r! |
Ω |
0.50408438453438 |
Real period |
R |
2.2698025356121 |
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 |
74970dv1 124950ft1 3570f1 |
Quadratic twists by: -3 5 -7 |