Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990bi |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-209748100786560000 = -1 · 210 · 34 · 54 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82493,23840408] |
[a1,a2,a3,a4,a6] |
Generators |
[354:-6425:1] |
Generators of the group modulo torsion |
j |
-527690404915129/1782829440000 |
j-invariant |
L |
5.4226259832586 |
L(r)(E,1)/r! |
Ω |
0.27727435441146 |
Real period |
R |
0.40743535366266 |
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 |
74970co1 124950fa1 3570a1 |
Quadratic twists by: -3 5 -7 |