Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990ce |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-241175854335937500 = -1 · 22 · 32 · 510 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-713490,233109792] |
[a1,a2,a3,a4,a6] |
j |
-995417019118423/5976562500 |
j-invariant |
L |
6.2867036434886 |
L(r)(E,1)/r! |
Ω |
0.31433518217443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970m1 124950g1 24990bl1 |
Quadratic twists by: -3 5 -7 |