Atkin-Lehner |
3- 5+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165g |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40154869125 = 36 · 53 · 72 · 17 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102030,12569651] |
[a1,a2,a3,a4,a6] |
Generators |
[190:31:1] |
Generators of the group modulo torsion |
j |
161132163395245281/55082125 |
j-invariant |
L |
4.7151812130773 |
L(r)(E,1)/r! |
Ω |
0.92667528104063 |
Real period |
R |
1.2720694217475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685e2 |
Quadratic twists by: -3 |