Atkin-Lehner |
3+ 11+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24123b |
Isogeny class |
Conductor |
24123 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5237272161 = 34 · 112 · 172 · 432 |
Discriminant |
Eigenvalues |
1 3+ 2 4 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-599,4200] |
[a1,a2,a3,a4,a6] |
Generators |
[16264:61483:512] |
Generators of the group modulo torsion |
j |
23830686333433/5237272161 |
j-invariant |
L |
6.7286564684847 |
L(r)(E,1)/r! |
Ω |
1.2835736255534 |
Real period |
R |
5.2421273969256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72369l2 |
Quadratic twists by: -3 |