Atkin-Lehner |
3+ 11+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24123b |
Isogeny class |
Conductor |
24123 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5753842083 = 32 · 11 · 17 · 434 |
Discriminant |
Eigenvalues |
1 3+ 2 4 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9014,325653] |
[a1,a2,a3,a4,a6] |
Generators |
[3835240:-6519399:64000] |
Generators of the group modulo torsion |
j |
81012428731072873/5753842083 |
j-invariant |
L |
6.7286564684847 |
L(r)(E,1)/r! |
Ω |
1.2835736255534 |
Real period |
R |
10.484254793851 |
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 |
72369l4 |
Quadratic twists by: -3 |