Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17940c |
Isogeny class |
Conductor |
17940 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
41979600 = 24 · 33 · 52 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185,-858] |
[a1,a2,a3,a4,a6] |
Generators |
[186:663:8] |
Generators of the group modulo torsion |
j |
44001181696/2623725 |
j-invariant |
L |
4.5816380277232 |
L(r)(E,1)/r! |
Ω |
1.2987548045802 |
Real period |
R |
3.5277159411196 |
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 |
71760ca1 53820k1 89700w1 |
Quadratic twists by: -4 -3 5 |