Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950im |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
72901202850000000 = 27 · 36 · 58 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14213088,20623185792] |
[a1,a2,a3,a4,a6] |
Generators |
[2232:-5616:1] |
Generators of the group modulo torsion |
j |
172735174415217961/39657600 |
j-invariant |
L |
15.169954790112 |
L(r)(E,1)/r! |
Ω |
0.27466144181985 |
Real period |
R |
0.65751747776412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990b2 2550s2 |
Quadratic twists by: 5 -7 |