Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990bi |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1001867629743136800 = 25 · 32 · 52 · 78 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1846493,964405208] |
[a1,a2,a3,a4,a6] |
Generators |
[-696:44080:1] |
Generators of the group modulo torsion |
j |
5918043195362419129/8515734343200 |
j-invariant |
L |
5.4226259832586 |
L(r)(E,1)/r! |
Ω |
0.27727435441146 |
Real period |
R |
0.81487070732533 |
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 |
74970co2 124950fa2 3570a2 |
Quadratic twists by: -3 5 -7 |